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<title>Convert Percents to Fractions</title>
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<h1 class="center">Convert Percents to Fractions</h1>
<h3>To convert a Percent to a Fraction follow these steps:</h3>
<ul>
<li>Step 1: Write down the percent divided by 100 like this: <span class="intbl larger">
<em>percent</em>
<strong>100</strong>
</span></li>
<li>Step 2: <b>If </b>the percent is <b>not</b> a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)</li>
<li>Step 3: <a href="simplifying-fractions.html">Simplify</a> (or reduce) the fraction</li>
</ul>
<p>&nbsp;</p>
<div class="example">
<h3>Example: Convert 11% to a fraction</h3>
<p>Step 1: Write down:</p>
<p class="center larger"><span class="intbl">
<em>11</em>
<strong>100</strong>
</span></p>
<p>Step 2: The percent is a whole number, go straight to step 3.</p>
<p>Step 3: The fraction cannot be simplified further.</p>
<p>&nbsp;</p>
<h3 align="center">Answer = <span class="intbl">
<em>11</em>
<strong>100</strong>
</span></h3>
</div>
<div class="example">
<h3>Example: Convert 75% to a fraction</h3>
<p>Step 1: Write down:</p>
<div class="clear">
<p class="center larger"><span class="intbl">
<em>75</em>
<strong>100</strong>
</span></p>
</div>
<p>Step 2: The percent is a whole number, go straight to step 3.</p>
<p>Step 3: <a href="simplifying-fractions.html">Simplify the fraction</a> (this took me two steps, you may be able to do it one!):</p>
<div class="clear">
<table align="center" border="0" cellspacing="5" cellpadding="0" class="larger">
<tr align="center">
<td>&nbsp;</td>
<td>&divide;5</td>
<td>&nbsp;</td>
<td>&divide; 5</td>
<td>&nbsp;</td>
</tr>
<tr align="center">
<td colspan="5" align="center"><img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /> &nbsp; <img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /></td>
</tr>
<tr align="center" class="larger">
<td width="20%"><span class="intbl">
<em>75</em>
<strong>100</strong>
</span></td>
<td width="20%">&nbsp; = &nbsp;</td>
<td width="20%"><span class="intbl">
<em>15</em>
<strong>20</strong>
</span></td>
<td width="20%">&nbsp; = &nbsp;</td>
<td width="20%"><span class="intbl">
<em>3</em><strong>4</strong>
</span></td>
</tr>
<tr align="center">
<td colspan="5" align="center"><img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /> &nbsp; <img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /></td>
</tr>
<tr align="center">
<td>&nbsp;</td>
<td>&divide;5</td>
<td>&nbsp;</td>
<td>&divide; 5</td>
<td>&nbsp;</td>
</tr>
</table>
</div>
<p>&nbsp;</p>
<h3 align="center">Answer = <span class="intbl">
<em>3</em><strong>4</strong>
</span></h3>
<p>&nbsp;</p>
<p class="center"><i>Note: <span class="intbl"><em>75</em><strong>100</strong></span> is called a <b>decimal fraction</b> and <span class="intbl">
<em>3</em><strong>4</strong>
</span> is called a <b>common fraction</b> ! </i></p>
</div>
<div class="example">
<h3>Example: Convert 62.5% to a fraction</h3>
<p>Step 1: Write down:</p>
<div class="clear">
<p class="center larger"><span class="intbl">
<em>62.5</em>
<strong>100</strong>
</span></p>
</div>
<p>Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)</p>
<div class="clear">
<table align="center" border="0" cellspacing="5" cellpadding="0" class="larger">
<tr align="center">
<td>&nbsp;</td>
<td>&times; 10</td>
<td>&nbsp;</td>
</tr>
<tr align="center">
<td colspan="3" align="center"><img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /> &nbsp; </td>
</tr>
<tr align="center" class="larger">
<td><span class="intbl">
<em>62.5</em>
<strong>100</strong>
</span></td>
<td>&nbsp; = &nbsp;</td>
<td><span class="intbl">
<em>625</em>
<strong>1000</strong>
</span></td>
</tr>
<tr align="center">
<td colspan="3" align="center"><img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /> &nbsp; </td>
</tr>
<tr align="center">
<td>&nbsp;</td>
<td>&times; 10</td>
<td>&nbsp;</td>
</tr>
</table>
<div class="center">
<p><i>(See how this neatly makes the top a whole number?)</i></p>
</div>
</div>
<p>Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :</p>
<div class="clear">
<table align="center" border="0" cellspacing="5" cellpadding="0" class="larger">
<tr align="center">
<td>&nbsp;</td>
<td>&divide; 25</td>
<td>&nbsp;</td>
<td>&divide; 5</td>
<td>&nbsp;</td>
</tr>
<tr align="center">
<td colspan="5" align="center"><img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /> &nbsp; <img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /></td>
</tr>
<tr class="larger">
<td width="20%" align="center"><span class="intbl">
<em>625</em>
<strong>1000</strong>
</span></td>
<td width="20%">&nbsp; = &nbsp;</td>
<td width="20%"><span class="intbl">
<em>25</em>
<strong>40</strong>
</span></td>
<td width="20%">&nbsp; = &nbsp;</td>
<td width="20%"><span class="intbl">
<em>5</em>
<strong>8</strong>
</span></td>
</tr>
<tr align="center">
<td colspan="5" align="center"><img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /> &nbsp; <img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /></td>
</tr>
<tr align="center">
<td>&nbsp;</td>
<td>&divide; 25</td>
<td>&nbsp;</td>
<td>&divide; 5</td>
<td>&nbsp;</td>
</tr>
</table>
<p>&nbsp;</p>
<h3 align="center">Answer = <span class="intbl">
<em>5</em>
<strong>8</strong>
</span></h3>
</div>
</div>
<h3 align="center">&nbsp;</h3>
<div class="example">
<h3>Example: Convert 150% to a fraction</h3>
<p>Step 1: Write down:</p>
<div class="clear">
<p class="center larger"><span class="intbl">
<em>150</em>
<strong>100</strong>
</span></p>
</div>
<p>Step 2: The percent is a whole number, go straight to step 3.</p>
<p>Step 3: Simplify the fraction (I did it one step):</p>
<div class="clear">
<table align="center" border="0" cellspacing="5" cellpadding="0" class="larger">
<tr align="center">
<td>&nbsp;</td>
<td>&divide; 50</td>
<td>&nbsp;</td>
</tr>
<tr align="center">
<td colspan="3" align="center"><img src="images/style/right-over-arrow.gif" width="75" height="25" alt="right over arrow" /> &nbsp; </td>
</tr>
<tr align="center" class="larger">
<td width="33%"><span class="intbl">
<em>150</em>
<strong>100</strong>
</span></td>
<td width="33%">&nbsp; = &nbsp;</td>
<td width="33%"><span class="intbl">
<em>3</em>
<strong>2</strong>
</span></td>
</tr>
<tr align="center">
<td colspan="3" align="center"><img src="images/style/right-under-arrow.gif" width="75" height="25" alt="right under arrow" /> &nbsp; </td>
</tr>
<tr align="center">
<td>&nbsp;</td>
<td>&divide; 50</td>
<td>&nbsp;</td>
</tr>
</table>
<p>&nbsp;</p>
<h3 align="center">Answer = <span class="intbl">
<em>3</em>
<strong>2</strong>
</span></h3>
</div>
<p class="center">(which also equals <b>1&frac12;</b>, see <a href="mixed-fractions.html">Mixed Fractions</a>)</p>
</div>
<p>&nbsp;</p>
<div class="questions">
<script>getQ(899, 900, 901, 1323, 1324, 3515, 3516, 3517, 3518, 3519);</script>&nbsp;
</div>
<div class="related">
<a href="converting-fractions-percents.html">Convert Fractions to Percents</a>
<a href="converting-percents-fractions.html">Convert Percents to Fractions</a>
<a href="percentage-calculator.html">Percentage Calculator</a>
<a href="decimal-fraction-percentage.html">Decimals, Fractions and Percentages</a>
<a href="fractions.html">Introduction to Fractions</a>
<a href="percentage.html">Introduction to Percentages</a>
<a href="fractions-menu.html">Fractions Index</a>
<a href="percentage-menu.html">Percents Index</a>
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