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 <div class="subTitle">org.apache.commons.math3.fraction</div>
 <h2 title="Class BigFraction" class="title">Class BigFraction</h2>
 </div>
 <div class="contentContainer">
 <ul class="inheritance">
 <li><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
 <li>
 <ul class="inheritance">
 <li><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">java.lang.Number</a></li>
 <li>
 <ul class="inheritance">
 <li>org.apache.commons.math3.fraction.BigFraction</li>
 </ul>
 </li>
 </ul>
 </li>
 </ul>
 <div class="description">
 <ul class="blockList">
 <li class="blockList">
 <dl>
 <dt>All Implemented Interfaces:</dt>
 <dd><a href="http://docs.oracle.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;, <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</dd>
 </dl>
 <hr>
 <br>
 <pre>public class <span class="strong">BigFraction</span>
 extends <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a>
 implements <a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;, <a href="http://docs.oracle.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre>
 <div class="block">Representation of a rational number without any overflow. This class is
  immutable.</div>
 <dl><dt><span class="strong">Since:</span></dt>
   <dd>2.0</dd>
 <dt><span class="strong">Version:</span></dt>
   <dd>$Id: BigFraction.java 1547633 2013-12-03 23:03:06Z tn $</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../serialized-form.html#org.apache.commons.math3.fraction.BigFraction">Serialized Form</a></dd></dl>
 </li>
 </ul>
 </div>
 <div class="summary">
 <ul class="blockList">
 <li class="blockList">
 <!-- =========== FIELD SUMMARY =========== -->
 <ul class="blockList">
 <li class="blockList"><a name="field_summary">
 <!--   -->
 </a>
 <h3>Field Summary</h3>
 <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
 <caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colFirst" scope="col">Modifier and Type</th>
 <th class="colLast" scope="col">Field and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#FOUR_FIFTHS">FOUR_FIFTHS</a></strong></code>
 <div class="block">A fraction representing "4/5".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#MINUS_ONE">MINUS_ONE</a></strong></code>
 <div class="block">A fraction representing "-1 / 1".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ONE">ONE</a></strong></code>
 <div class="block">A fraction representing "1".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ONE_FIFTH">ONE_FIFTH</a></strong></code>
 <div class="block">A fraction representing "1/5".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ONE_HALF">ONE_HALF</a></strong></code>
 <div class="block">A fraction representing "1/2".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ONE_QUARTER">ONE_QUARTER</a></strong></code>
 <div class="block">A fraction representing "1/4".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ONE_THIRD">ONE_THIRD</a></strong></code>
 <div class="block">A fraction representing "1/3".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#THREE_FIFTHS">THREE_FIFTHS</a></strong></code>
 <div class="block">A fraction representing "3/5".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#THREE_QUARTERS">THREE_QUARTERS</a></strong></code>
 <div class="block">A fraction representing "3/4".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#TWO">TWO</a></strong></code>
 <div class="block">A fraction representing "2 / 1".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#TWO_FIFTHS">TWO_FIFTHS</a></strong></code>
 <div class="block">A fraction representing "2/5".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#TWO_QUARTERS">TWO_QUARTERS</a></strong></code>
 <div class="block">A fraction representing "2/4".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#TWO_THIRDS">TWO_THIRDS</a></strong></code>
 <div class="block">A fraction representing "2/3".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#ZERO">ZERO</a></strong></code>
 <div class="block">A fraction representing "0".</div>
 </td>
 </tr>
 </table>
 </li>
 </ul>
 <!-- ======== CONSTRUCTOR SUMMARY ======== -->
 <ul class="blockList">
 <li class="blockList"><a name="constructor_summary">
 <!--   -->
 </a>
 <h3>Constructor Summary</h3>
 <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
 <caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colOne" scope="col">Constructor and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(java.math.BigInteger)">BigFraction</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;num)</code>
 <div class="block">
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed <tt>BigInteger</tt>, ie
  "num / 1".</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(java.math.BigInteger, java.math.BigInteger)">BigFraction</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;num,
            <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;den)</code>
 <div class="block">Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as
  <code>BigInteger</code>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double)">BigFraction</a></strong>(double&nbsp;value)</code>
 <div class="block">Create a fraction given the double value.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double, double, int)">BigFraction</a></strong>(double&nbsp;value,
            double&nbsp;epsilon,
            int&nbsp;maxIterations)</code>
 <div class="block">Create a fraction given the double value and maximum error allowed.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double, int)">BigFraction</a></strong>(double&nbsp;value,
            int&nbsp;maxDenominator)</code>
 <div class="block">Create a fraction given the double value and maximum denominator.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(int)">BigFraction</a></strong>(int&nbsp;num)</code>
 <div class="block">
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed <tt>int</tt>, ie
  "num / 1".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(int, int)">BigFraction</a></strong>(int&nbsp;num,
            int&nbsp;den)</code>
 <div class="block">
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as simple
  <tt>int</tt>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(long)">BigFraction</a></strong>(long&nbsp;num)</code>
 <div class="block">
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed long, ie "num / 1".</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(long, long)">BigFraction</a></strong>(long&nbsp;num,
            long&nbsp;den)</code>
 <div class="block">
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as simple
  <tt>long</tt>.</div>
 </td>
 </tr>
 </table>
 </li>
 </ul>
 <!-- ========== METHOD SUMMARY =========== -->
 <ul class="blockList">
 <li class="blockList"><a name="method_summary">
 <!--   -->
 </a>
 <h3>Method Summary</h3>
 <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
 <caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colFirst" scope="col">Modifier and Type</th>
 <th class="colLast" scope="col">Method and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#abs()">abs</a></strong>()</code>
 <div class="block">
  Returns the absolute value of this <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#add(org.apache.commons.math3.fraction.BigFraction)">add</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</code>
 <div class="block">
  Adds the value of this fraction to another, returning the result in
  reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#add(java.math.BigInteger)">add</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</code>
 <div class="block">
  Adds the value of this fraction to the passed <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a>,
  returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#add(int)">add</a></strong>(int&nbsp;i)</code>
 <div class="block">
  Adds the value of this fraction to the passed <tt>integer</tt>, returning
  the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#add(long)">add</a></strong>(long&nbsp;l)</code>
 <div class="block">
  Adds the value of this fraction to the passed <tt>long</tt>, returning
  the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#bigDecimalValue()">bigDecimalValue</a></strong>()</code>
 <div class="block">
  Gets the fraction as a <code>BigDecimal</code>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#bigDecimalValue(int)">bigDecimalValue</a></strong>(int&nbsp;roundingMode)</code>
 <div class="block">
  Gets the fraction as a <code>BigDecimal</code> following the passed
  rounding mode.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#bigDecimalValue(int, int)">bigDecimalValue</a></strong>(int&nbsp;scale,
                int&nbsp;roundingMode)</code>
 <div class="block">
  Gets the fraction as a <code>BigDecimal</code> following the passed scale
  and rounding mode.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#compareTo(org.apache.commons.math3.fraction.BigFraction)">compareTo</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;object)</code>
 <div class="block">
  Compares this object to another based on size.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#divide(org.apache.commons.math3.fraction.BigFraction)">divide</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</code>
 <div class="block">
  Divide the value of this fraction by another, returning the result in
  reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#divide(java.math.BigInteger)">divide</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</code>
 <div class="block">
  Divide the value of this fraction by the passed <code>BigInteger</code>,
  ie <code>this * 1 / bg</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#divide(int)">divide</a></strong>(int&nbsp;i)</code>
 <div class="block">
  Divide the value of this fraction by the passed <code>int</code>, ie
  <code>this * 1 / i</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#divide(long)">divide</a></strong>(long&nbsp;l)</code>
 <div class="block">
  Divide the value of this fraction by the passed <code>long</code>, ie
  <code>this * 1 / l</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#doubleValue()">doubleValue</a></strong>()</code>
 <div class="block">
  Gets the fraction as a <tt>double</tt>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>boolean</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</code>
 <div class="block">
  Test for the equality of two fractions.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>float</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#floatValue()">floatValue</a></strong>()</code>
 <div class="block">
  Gets the fraction as a <tt>float</tt>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getDenominator()">getDenominator</a></strong>()</code>
 <div class="block">
  Access the denominator as a <code>BigInteger</code>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getDenominatorAsInt()">getDenominatorAsInt</a></strong>()</code>
 <div class="block">
  Access the denominator as a <tt>int</tt>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>long</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getDenominatorAsLong()">getDenominatorAsLong</a></strong>()</code>
 <div class="block">
  Access the denominator as a <tt>long</tt>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFractionField.html" title="class in org.apache.commons.math3.fraction">BigFractionField</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getField()">getField</a></strong>()</code>
 <div class="block">Get the <a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getNumerator()">getNumerator</a></strong>()</code>
 <div class="block">
  Access the numerator as a <code>BigInteger</code>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getNumeratorAsInt()">getNumeratorAsInt</a></strong>()</code>
 <div class="block">
  Access the numerator as a <tt>int</tt>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>long</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getNumeratorAsLong()">getNumeratorAsLong</a></strong>()</code>
 <div class="block">
  Access the numerator as a <tt>long</tt>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#getReducedFraction(int, int)">getReducedFraction</a></strong>(int&nbsp;numerator,
                   int&nbsp;denominator)</code>
 <div class="block">
  Creates a <code>BigFraction</code> instance with the 2 parts of a fraction
  Y/Z.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#hashCode()">hashCode</a></strong>()</code>
 <div class="block">
  Gets a hashCode for the fraction.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#intValue()">intValue</a></strong>()</code>
 <div class="block">
  Gets the fraction as an <tt>int</tt>.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>long</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#longValue()">longValue</a></strong>()</code>
 <div class="block">
  Gets the fraction as a <tt>long</tt>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#multiply(org.apache.commons.math3.fraction.BigFraction)">multiply</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</code>
 <div class="block">
  Multiplies the value of this fraction by another, returning the result in
  reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#multiply(java.math.BigInteger)">multiply</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</code>
 <div class="block">
  Multiplies the value of this fraction by the passed
  <code>BigInteger</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#multiply(int)">multiply</a></strong>(int&nbsp;i)</code>
 <div class="block">
  Multiply the value of this fraction by the passed <tt>int</tt>, returning
  the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#multiply(long)">multiply</a></strong>(long&nbsp;l)</code>
 <div class="block">
  Multiply the value of this fraction by the passed <tt>long</tt>,
  returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#negate()">negate</a></strong>()</code>
 <div class="block">
  Return the additive inverse of this fraction, returning the result in
  reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#percentageValue()">percentageValue</a></strong>()</code>
 <div class="block">
  Gets the fraction percentage as a <tt>double</tt>.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#pow(java.math.BigInteger)">pow</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;exponent)</code>
 <div class="block">
  Returns a <code>BigFraction</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#pow(double)">pow</a></strong>(double&nbsp;exponent)</code>
 <div class="block">
  Returns a <code>double</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#pow(int)">pow</a></strong>(int&nbsp;exponent)</code>
 <div class="block">
  Returns a <code>BigFraction</code> whose value is
  <code>(this&lt;sup&gt;exponent&lt;/sup&gt;)</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#pow(long)">pow</a></strong>(long&nbsp;exponent)</code>
 <div class="block">
  Returns a <code>BigFraction</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#reciprocal()">reciprocal</a></strong>()</code>
 <div class="block">
  Return the multiplicative inverse of this fraction.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#reduce()">reduce</a></strong>()</code>
 <div class="block">
  Reduce this <code>BigFraction</code> to its lowest terms.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#subtract(org.apache.commons.math3.fraction.BigFraction)">subtract</a></strong>(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</code>
 <div class="block">
  Subtracts the value of another fraction from the value of this one,
  returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#subtract(java.math.BigInteger)">subtract</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</code>
 <div class="block">
  Subtracts the value of an <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#subtract(int)">subtract</a></strong>(int&nbsp;i)</code>
 <div class="block">
  Subtracts the value of an <code>integer</code> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#subtract(long)">subtract</a></strong>(long&nbsp;l)</code>
 <div class="block">
  Subtracts the value of a <code>long</code> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#toString()">toString</a></strong>()</code>
 <div class="block">
  Returns the <code>String</code> representing this fraction, ie
  "num / dem" or just "num" if the denominator is one.</div>
 </td>
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 <ul class="blockList">
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 <!--   -->
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 <h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></h3>
 <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#byteValue()" title="class or interface in java.lang">byteValue</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#shortValue()" title="class or interface in java.lang">shortValue</a></code></li>
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 <h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
 <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> TWO</pre>
 <div class="block">A fraction representing "2 / 1".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ONE</pre>
 <div class="block">A fraction representing "1".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ZERO</pre>
 <div class="block">A fraction representing "0".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> MINUS_ONE</pre>
 <div class="block">A fraction representing "-1 / 1".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> FOUR_FIFTHS</pre>
 <div class="block">A fraction representing "4/5".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ONE_FIFTH</pre>
 <div class="block">A fraction representing "1/5".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ONE_HALF</pre>
 <div class="block">A fraction representing "1/2".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ONE_QUARTER</pre>
 <div class="block">A fraction representing "1/4".</div>
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 <h4>ONE_THIRD</h4>
 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> ONE_THIRD</pre>
 <div class="block">A fraction representing "1/3".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> THREE_FIFTHS</pre>
 <div class="block">A fraction representing "3/5".</div>
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 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> THREE_QUARTERS</pre>
 <div class="block">A fraction representing "3/4".</div>
 </li>
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 <a name="TWO_FIFTHS">
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 <h4>TWO_FIFTHS</h4>
 <pre>public static final&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a> TWO_FIFTHS</pre>
 <div class="block">A fraction representing "2/5".</div>
 </li>
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 <div class="block">A fraction representing "2/4".</div>
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 <div class="block">A fraction representing "2/3".</div>
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 <pre>public&nbsp;BigFraction(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;num)</pre>
 <div class="block"><p>
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed <tt>BigInteger</tt>, ie
  "num / 1".
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd></dl>
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 <pre>public&nbsp;BigFraction(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;num,
            <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;den)</pre>
 <div class="block">Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as
  <code>BigInteger</code>. The <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> is reduced to lowest terms.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator, must not be <code>null</code>.</dd><dd><code>den</code> - the denominator, must not be <code>null</code>.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code> - if the denominator is zero.</dd>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if either of the arguments is null</dd></dl>
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             throws <a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></pre>
 <div class="block">Create a fraction given the double value.
  <p>
  This constructor behaves <em>differently</em> from
  <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double, double, int)"><code>BigFraction(double, double, int)</code></a>. It converts the double value
  exactly, considering its internal bits representation. This works for all
  values except NaN and infinities and does not requires any loop or
  convergence threshold.
  </p>
  <p>
  Since this conversion is exact and since double numbers are sometimes
  approximated, the fraction created may seem strange in some cases. For example,
  calling <code>new BigFraction(1.0 / 3.0)</code> does <em>not</em> create
  the fraction 1/3, but the fraction 6004799503160661 / 18014398509481984
  because the double number passed to the constructor is not exactly 1/3
  (this number cannot be stored exactly in IEEE754).
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if value is NaN or infinite</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double, double, int)"><code>BigFraction(double, double, int)</code></a></dd></dl>
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 <pre>public&nbsp;BigFraction(double&nbsp;value,
            double&nbsp;epsilon,
            int&nbsp;maxIterations)
             throws <a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></pre>
 <div class="block">Create a fraction given the double value and maximum error allowed.
  <p>
  References:
  <ul>
  <li><a href="http://mathworld.wolfram.com/ContinuedFraction.html">
  Continued Fraction</a> equations (11) and (22)-(26)</li>
  </ul>
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd><dd><code>epsilon</code> - maximum error allowed. The resulting fraction is within
             <code>epsilon</code> of <code>value</code>, in absolute terms.</dd><dd><code>maxIterations</code> - maximum number of convergents.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></code> - if the continued fraction failed to converge.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html#BigFraction(double)"><code>BigFraction(double)</code></a></dd></dl>
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            int&nbsp;maxDenominator)
             throws <a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></pre>
 <div class="block">Create a fraction given the double value and maximum denominator.
  <p>
  References:
  <ul>
  <li><a href="http://mathworld.wolfram.com/ContinuedFraction.html">
  Continued Fraction</a> equations (11) and (22)-(26)</li>
  </ul>
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>value</code> - the double value to convert to a fraction.</dd><dd><code>maxDenominator</code> - The maximum allowed value for denominator.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/fraction/FractionConversionException.html" title="class in org.apache.commons.math3.fraction">FractionConversionException</a></code> - if the continued fraction failed to converge.</dd></dl>
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 <pre>public&nbsp;BigFraction(int&nbsp;num)</pre>
 <div class="block"><p>
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed <tt>int</tt>, ie
  "num / 1".
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd></dl>
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 <pre>public&nbsp;BigFraction(int&nbsp;num,
            int&nbsp;den)</pre>
 <div class="block"><p>
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as simple
  <tt>int</tt>. The <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> is reduced to lowest terms.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd><dd><code>den</code> - the denominator.</dd></dl>
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 <pre>public&nbsp;BigFraction(long&nbsp;num)</pre>
 <div class="block"><p>
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> equivalent to the passed long, ie "num / 1".
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd></dl>
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 <pre>public&nbsp;BigFraction(long&nbsp;num,
            long&nbsp;den)</pre>
 <div class="block"><p>
  Create a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> given the numerator and denominator as simple
  <tt>long</tt>. The <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> is reduced to lowest terms.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>num</code> - the numerator.</dd><dd><code>den</code> - the denominator.</dd></dl>
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 <pre>public static&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;getReducedFraction(int&nbsp;numerator,
                              int&nbsp;denominator)</pre>
 <div class="block"><p>
  Creates a <code>BigFraction</code> instance with the 2 parts of a fraction
  Y/Z.
  </p>

  <p>
  Any negative signs are resolved to be on the numerator.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>numerator</code> - the numerator, for example the three in 'three sevenths'.</dd><dd><code>denominator</code> - the denominator, for example the seven in 'three sevenths'.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a new fraction instance, with the numerator and denominator
          reduced.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/ArithmeticException.html?is-external=true" title="class or interface in java.lang">ArithmeticException</a></code> - if the denominator is <code>zero</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;abs()</pre>
 <div class="block"><p>
  Returns the absolute value of this <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the absolute value as a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a>.</dd></dl>
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 <h4>add</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;add(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)
                 throws <a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
 <div class="block"><p>
  Adds the value of this fraction to the passed <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a>,
  returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>bg</code> - the <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> to add, must'nt be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> is <code>null</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;add(int&nbsp;i)</pre>
 <div class="block"><p>
  Adds the value of this fraction to the passed <tt>integer</tt>, returning
  the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <tt>integer</tt> to add.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd></dl>
 </li>
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 <a name="add(long)">
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 <h4>add</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;add(long&nbsp;l)</pre>
 <div class="block"><p>
  Adds the value of this fraction to the passed <tt>long</tt>, returning
  the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>l</code> - the <tt>long</tt> to add.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd></dl>
 </li>
 </ul>
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 <h4>add</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;add(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</pre>
 <div class="block"><p>
  Adds the value of this fraction to another, returning the result in
  reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#add(T)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - the <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> to add, must not be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> is <code>null</code>.</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a>&nbsp;bigDecimalValue()</pre>
 <div class="block"><p>
  Gets the fraction as a <code>BigDecimal</code>. This calculates the
  fraction as the numerator divided by denominator.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the fraction as a <code>BigDecimal</code>.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/ArithmeticException.html?is-external=true" title="class or interface in java.lang">ArithmeticException</a></code> - if the exact quotient does not have a terminating decimal
              expansion.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a></dd></dl>
 </li>
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 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a>&nbsp;bigDecimalValue(int&nbsp;roundingMode)</pre>
 <div class="block"><p>
  Gets the fraction as a <code>BigDecimal</code> following the passed
  rounding mode. This calculates the fraction as the numerator divided by
  denominator.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>roundingMode</code> - rounding mode to apply. see <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a> constants.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>the fraction as a <code>BigDecimal</code>.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if <tt>roundingMode</tt> does not represent a valid rounding
              mode.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a></dd></dl>
 </li>
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 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math">BigDecimal</a>&nbsp;bigDecimalValue(int&nbsp;scale,
                          int&nbsp;roundingMode)</pre>
 <div class="block"><p>
  Gets the fraction as a <code>BigDecimal</code> following the passed scale
  and rounding mode. This calculates the fraction as the numerator divided
  by denominator.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>scale</code> - scale of the <code>BigDecimal</code> quotient to be returned.
             see <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a> for more information.</dd><dd><code>roundingMode</code> - rounding mode to apply. see <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a> constants.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>the fraction as a <code>BigDecimal</code>.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigDecimal.html?is-external=true" title="class or interface in java.math"><code>BigDecimal</code></a></dd></dl>
 </li>
 </ul>
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 <!--   -->
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 <h4>compareTo</h4>
 <pre>public&nbsp;int&nbsp;compareTo(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;object)</pre>
 <div class="block"><p>
  Compares this object to another based on size.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Comparable.html?is-external=true#compareTo(T)" title="class or interface in java.lang">compareTo</a></code>&nbsp;in interface&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>object</code> - the object to compare to, must not be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>-1 if this is less than <tt>object</tt>, +1 if this is greater
          than <tt>object</tt>, 0 if they are equal.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Comparable.html?is-external=true#compareTo(T)" title="class or interface in java.lang"><code>Comparable.compareTo(java.lang.Object)</code></a></dd></dl>
 </li>
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 <h4>divide</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;divide(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</pre>
 <div class="block"><p>
  Divide the value of this fraction by the passed <code>BigInteger</code>,
  ie <code>this * 1 / bg</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>bg</code> - the <code>BigInteger</code> to divide by, must not be <code>null</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <code>BigInteger</code> is <code>null</code></dd>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the fraction to divide by is zero</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;divide(int&nbsp;i)</pre>
 <div class="block"><p>
  Divide the value of this fraction by the passed <code>int</code>, ie
  <code>this * 1 / i</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>int</code> to divide by</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the fraction to divide by is zero</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;divide(long&nbsp;l)</pre>
 <div class="block"><p>
  Divide the value of this fraction by the passed <code>long</code>, ie
  <code>this * 1 / l</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>l</code> - the <code>long</code> to divide by</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the fraction to divide by is zero</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;divide(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</pre>
 <div class="block"><p>
  Divide the value of this fraction by another, returning the result in
  reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#divide(T)">divide</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - Fraction to divide by, must not be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <code>fraction</code> is <code>null</code>.</dd>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the fraction to divide by is zero</dd></dl>
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 <pre>public&nbsp;double&nbsp;doubleValue()</pre>
 <div class="block"><p>
  Gets the fraction as a <tt>double</tt>. This calculates the fraction as
  the numerator divided by denominator.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#doubleValue()" title="class or interface in java.lang">doubleValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the fraction as a <tt>double</tt></dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#doubleValue()" title="class or interface in java.lang"><code>Number.doubleValue()</code></a></dd></dl>
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 <pre>public&nbsp;boolean&nbsp;equals(<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</pre>
 <div class="block"><p>
  Test for the equality of two fractions. If the lowest term numerator and
  denominators are the same for both fractions, the two fractions are
  considered to be equal.
  </p></div>
 <dl>
 <dt><strong>Overrides:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - fraction to test for equality to this fraction, can be
             <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>true if two fractions are equal, false if object is
          <code>null</code>, not an instance of <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a>, or not
          equal to this fraction instance.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang"><code>Object.equals(java.lang.Object)</code></a></dd></dl>
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 <pre>public&nbsp;float&nbsp;floatValue()</pre>
 <div class="block"><p>
  Gets the fraction as a <tt>float</tt>. This calculates the fraction as
  the numerator divided by denominator.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#floatValue()" title="class or interface in java.lang">floatValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the fraction as a <tt>float</tt>.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#floatValue()" title="class or interface in java.lang"><code>Number.floatValue()</code></a></dd></dl>
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 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;getDenominator()</pre>
 <div class="block"><p>
  Access the denominator as a <code>BigInteger</code>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the denominator as a <code>BigInteger</code>.</dd></dl>
 </li>
 </ul>
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 <pre>public&nbsp;int&nbsp;getDenominatorAsInt()</pre>
 <div class="block"><p>
  Access the denominator as a <tt>int</tt>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the denominator as a <tt>int</tt>.</dd></dl>
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 <pre>public&nbsp;long&nbsp;getDenominatorAsLong()</pre>
 <div class="block"><p>
  Access the denominator as a <tt>long</tt>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the denominator as a <tt>long</tt>.</dd></dl>
 </li>
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 <a name="getNumerator()">
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 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;getNumerator()</pre>
 <div class="block"><p>
  Access the numerator as a <code>BigInteger</code>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the numerator as a <code>BigInteger</code>.</dd></dl>
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 <pre>public&nbsp;int&nbsp;getNumeratorAsInt()</pre>
 <div class="block"><p>
  Access the numerator as a <tt>int</tt>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the numerator as a <tt>int</tt>.</dd></dl>
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 <pre>public&nbsp;long&nbsp;getNumeratorAsLong()</pre>
 <div class="block"><p>
  Access the numerator as a <tt>long</tt>.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the numerator as a <tt>long</tt>.</dd></dl>
 </li>
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 <h4>hashCode</h4>
 <pre>public&nbsp;int&nbsp;hashCode()</pre>
 <div class="block"><p>
  Gets a hashCode for the fraction.
  </p></div>
 <dl>
 <dt><strong>Overrides:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>a hash code value for this object.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang"><code>Object.hashCode()</code></a></dd></dl>
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 <pre>public&nbsp;int&nbsp;intValue()</pre>
 <div class="block"><p>
  Gets the fraction as an <tt>int</tt>. This returns the whole number part
  of the fraction.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#intValue()" title="class or interface in java.lang">intValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the whole number fraction part.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#intValue()" title="class or interface in java.lang"><code>Number.intValue()</code></a></dd></dl>
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 <pre>public&nbsp;long&nbsp;longValue()</pre>
 <div class="block"><p>
  Gets the fraction as a <tt>long</tt>. This returns the whole number part
  of the fraction.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#longValue()" title="class or interface in java.lang">longValue</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true" title="class or interface in java.lang">Number</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the whole number fraction part.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Number.html?is-external=true#longValue()" title="class or interface in java.lang"><code>Number.longValue()</code></a></dd></dl>
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 <h4>multiply</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;multiply(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</pre>
 <div class="block"><p>
  Multiplies the value of this fraction by the passed
  <code>BigInteger</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>bg</code> - the <code>BigInteger</code> to multiply by.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>bg</code> is <code>null</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;multiply(int&nbsp;i)</pre>
 <div class="block"><p>
  Multiply the value of this fraction by the passed <tt>int</tt>, returning
  the result in reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#multiply(int)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <tt>int</tt> to multiply by.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;multiply(long&nbsp;l)</pre>
 <div class="block"><p>
  Multiply the value of this fraction by the passed <tt>long</tt>,
  returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>l</code> - the <tt>long</tt> to multiply by.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values.</dd></dl>
 </li>
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 <a name="multiply(org.apache.commons.math3.fraction.BigFraction)">
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 <h4>multiply</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;multiply(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</pre>
 <div class="block"><p>
  Multiplies the value of this fraction by another, returning the result in
  reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#multiply(T)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - Fraction to multiply by, must not be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if <code>fraction</code> is <code>null</code>.</dd></dl>
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 <a name="negate()">
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 <h4>negate</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;negate()</pre>
 <div class="block"><p>
  Return the additive inverse of this fraction, returning the result in
  reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#negate()">negate</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the negation of this fraction.</dd></dl>
 </li>
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 <h4>percentageValue</h4>
 <pre>public&nbsp;double&nbsp;percentageValue()</pre>
 <div class="block"><p>
  Gets the fraction percentage as a <tt>double</tt>. This calculates the
  fraction as the numerator divided by denominator multiplied by 100.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the fraction percentage as a <tt>double</tt>.</dd></dl>
 </li>
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 <h4>pow</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;pow(int&nbsp;exponent)</pre>
 <div class="block"><p>
  Returns a <code>BigFraction</code> whose value is
  <code>(this&lt;sup&gt;exponent&lt;/sup&gt;)</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>exponent</code> - exponent to which this <code>BigFraction</code> is to be
             raised.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><tt>this<sup>exponent</sup></tt>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;pow(long&nbsp;exponent)</pre>
 <div class="block"><p>
  Returns a <code>BigFraction</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>exponent</code> - exponent to which this <code>BigFraction</code> is to be raised.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><tt>this<sup>exponent</sup></tt> as a <code>BigFraction</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;pow(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;exponent)</pre>
 <div class="block"><p>
  Returns a <code>BigFraction</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>exponent</code> - exponent to which this <code>BigFraction</code> is to be raised.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><tt>this<sup>exponent</sup></tt> as a <code>BigFraction</code>.</dd></dl>
 </li>
 </ul>
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 <pre>public&nbsp;double&nbsp;pow(double&nbsp;exponent)</pre>
 <div class="block"><p>
  Returns a <code>double</code> whose value is
  <tt>(this<sup>exponent</sup>)</tt>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>exponent</code> - exponent to which this <code>BigFraction</code> is to be raised.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><tt>this<sup>exponent</sup></tt>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;reciprocal()</pre>
 <div class="block"><p>
  Return the multiplicative inverse of this fraction.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#reciprocal()">reciprocal</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the reciprocal fraction.</dd></dl>
 </li>
 </ul>
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 <h4>reduce</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;reduce()</pre>
 <div class="block"><p>
  Reduce this <code>BigFraction</code> to its lowest terms.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>the reduced <code>BigFraction</code>. It doesn't change anything if
          the fraction can be reduced.</dd></dl>
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 <h4>subtract</h4>
 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;subtract(<a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math">BigInteger</a>&nbsp;bg)</pre>
 <div class="block"><p>
  Subtracts the value of an <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>bg</code> - the <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> to subtract, cannot be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <a href="http://docs.oracle.com/javase/6/docs/api/java/math/BigInteger.html?is-external=true" title="class or interface in java.math"><code>BigInteger</code></a> is <code>null</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;subtract(int&nbsp;i)</pre>
 <div class="block"><p>
  Subtracts the value of an <code>integer</code> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>i</code> - the <code>integer</code> to subtract.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd></dl>
 </li>
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 <a name="subtract(long)">
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;subtract(long&nbsp;l)</pre>
 <div class="block"><p>
  Subtracts the value of a <code>long</code> from the value of this
  <code>BigFraction</code>, returning the result in reduced form.
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>l</code> - the <code>long</code> to subtract.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <code>BigFraction</code> instance with the resulting values.</dd></dl>
 </li>
 </ul>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;subtract(<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&nbsp;fraction)</pre>
 <div class="block"><p>
  Subtracts the value of another fraction from the value of this one,
  returning the result in reduced form.
  </p></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#subtract(T)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>fraction</code> - <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> to subtract, must not be <code>null</code>.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a <a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction"><code>BigFraction</code></a> instance with the resulting values</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if the <code>fraction</code> is <code>null</code>.</dd></dl>
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 <h4>toString</h4>
 <pre>public&nbsp;<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString()</pre>
 <div class="block"><p>
  Returns the <code>String</code> representing this fraction, ie
  "num / dem" or just "num" if the denominator is one.
  </p></div>
 <dl>
 <dt><strong>Overrides:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>a string representation of the fraction.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang"><code>Object.toString()</code></a></dd></dl>
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 <pre>public&nbsp;<a href="../../../../../org/apache/commons/math3/fraction/BigFractionField.html" title="class in org.apache.commons.math3.fraction">BigFractionField</a>&nbsp;getField()</pre>
 <div class="block">Get the <a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../org/apache/commons/math3/FieldElement.html#getField()">getField</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../org/apache/commons/math3/fraction/BigFraction.html" title="class in org.apache.commons.math3.fraction">BigFraction</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd><a href="../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs</dd></dl>
 </li>
 </ul>
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