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275 lines
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HTML
275 lines
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HTML
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<title>Convert Fractions to Percents</title>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Convert Fractions to Percents</h1>
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<p class="center"><b>Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.</b></p>
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<h2>The Simplest Method is to Use a Calculator</h2>
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<table align="center" cellpadding="5" border="0">
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<tbody>
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<tr>
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<td><a href="scientific-calculator.html"><img src="images/calculator.gif" alt="calculator" height="97" width="76" border="0"></a></td>
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<td>
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<p>Steps:</p>
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<ul>
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<li>Divide the top of the fraction by the bottom,</li>
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<li>Then multiply the result by 100 and read off the answer !</li>
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</ul></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: What is <span class="intbl">
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<em>5</em>
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<strong>8</strong>
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</span> as a percent?</h3>
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<p>Get your calculator and type in "5 ÷ 8 =", the calculator should show <b>0.625</b></p>
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<p>Then multiply by 100 and your answer is: <b>62.5%</b></p>
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<p>(Remember to put the "%" sign so people know it is "per 100")</p>
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</div>
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<p>OR you can multiply the top by 100 first then divide by the bottom number:</p>
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<div class="example">
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<h3>Example: What is <span class="intbl">
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<em>5</em>
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<strong>8</strong>
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</span> as a percent?</h3>
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<p>Multiply 5 by 100 first, then divide by 8</p>
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<p class="center large">500 ÷ 8 = 62.5%</p>
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<p>(Remember that "%" sign!)</p></div>
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<h2>Or Move the Decimal 2 Places</h2>
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<p>After dividing, instead of multiplying by 100 we can just <b>move the decimal point 2 places to the right</b>, then add the %</p>
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<div class="example">
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<h3>Example: Convert <span class="frac"><sup>1</sup>/<sub>8</sub></span> to a percentage</h3>
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<p>Divide 1 by 8:</p>
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<p class="center large">1 ÷ 8 = 0.125</p>
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<p>Move the decimal point <b>2 places to the right</b></p>
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<p class="center"><img src="numbers/images/decimal-to-percent.svg" alt="decimal to percent"></p>
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<p>Remember to add the "%" sign: <b>12.5%</b></p>
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</div>
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<h2>Another (Harder) Method</h2>
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Percent means "per 100", so try to change the fraction to <span class="larger"><span class="intbl">
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<em>?</em>
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<strong>100</strong>
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</span></span> form.
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<h3>Follow these steps:</h3>
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<table align="center" cellpadding="5" border="0">
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<tbody>
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<tr>
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<td>Step 1: Find a number you can multiply the <b>bottom of the fraction</b> by to get 100.</td>
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</tr>
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<tr>
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<td>Step 2: Multiply both top and bottom of the fraction by that number.</td>
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</tr>
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<tr>
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<td>Step 3. Then write down just the top number with the "%" sign.</td>
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</tr>
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</tbody></table>
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<p> </p>
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<div class="example">
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<h3>Example 1: Convert <span class="intbl">
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<em>3</em>
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<strong>4</strong>
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</span> to a Percent</h3>
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<p>Step 1: We can multiply 4 by <b class="large">25</b> to become 100</p>
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<p class="center"><i>(why 25? because 100 divided by 4 is 25)</i></p>
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<p>Step 2: Multiply top and bottom by 25:</p>
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<div class="clear">
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<table class="larger" align="center" cellspacing="5" cellpadding="0" border="0">
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<tbody>
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<tr align="center">
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<td colspan="3"><b>×25</b></td>
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</tr>
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<tr align="center">
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<td colspan="3"><img src="images/style/right-over-arrow.gif" alt="right over arrow" height="25" width="75"></td>
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</tr>
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<tr class="large" align="center">
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<td><span class="intbl">
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<em>3</em>
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<strong>4</strong>
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</span></td>
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<td> = </td>
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<td><span class="intbl">
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<em>75</em>
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<strong>100</strong>
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</span></td>
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</tr>
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<tr align="center">
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<td colspan="3"><img src="images/style/right-under-arrow.gif" alt="right under arrow" height="25" width="75"></td>
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</tr>
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<tr align="center">
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<td colspan="3"><b>×25</b></td>
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</tr>
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</tbody></table>
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</div>
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<p>Step 3: Write down 75 with the percent sign:</p>
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<h3 align="center">Answer = 75%</h3>
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</div>
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<div class="example">
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<h3>Example 2: Convert <span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span> to a Percent</h3>
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<p>Step 1: We have to multiply 16 by <span class="large">6.25</span> to become 100</p>
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<p class="center"><i>(why 6.25? because 100 divided by 16 is 6.25)</i></p>
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<p>Step 2: Multiply top and bottom by 6.25:</p>
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<div class="clear">
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<table class="larger" align="center" cellspacing="5" cellpadding="0" border="0">
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<tbody>
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<tr align="center">
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<td colspan="3"><b>×6.25</b></td>
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</tr>
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<tr align="center">
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<td colspan="3"><img src="images/style/right-over-arrow.gif" alt="right over arrow" height="25" width="75"></td>
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</tr>
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<tr class="large" align="center">
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<td><span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span></td>
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<td> = </td>
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<td><span class="intbl">
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<em>18.75</em>
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<strong>100</strong>
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</span></td>
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</tr>
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<tr align="center">
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<td colspan="3"><img src="images/style/right-under-arrow.gif" alt="right under arrow" height="25" width="75"></td>
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</tr>
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<tr align="center">
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<td colspan="3"><b>×6.25</b></td>
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</tr>
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</tbody></table>
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</div>
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<p>Step 3: Write down 18.75 with the percentage sign:</p>
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<h3 align="center">Answer = 18.75%</h3>
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</div>
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<h2>Yet Another Method: Proportions</h2>
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<p>Because a percent is actually a ratio (parts per 100) we can also use <a href="algebra/proportions.html">Proportions</a> to do the conversion.</p>
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<p>First, put what you know into this form:</p>
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<p class="center larger"><span class="intbl">
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<em>Top of Fraction</em>
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<strong>Bottom of Fraction</strong>
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</span> = <span class="intbl">
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<em>Percent</em>
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<strong>100</strong>
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</span></p>
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<p>Then solve using <b>"multiply across the known corners, divide by the third number"</b>:</p>
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<div class="example">
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<h3>Example: Convert <span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span> to percent</h3>
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<p>Fill in what you know:</p>
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<p class="center larger"><span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span> = <span class="intbl">
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<em>Percent</em>
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<strong>100</strong>
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</span></p>
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<p>Multiply across the known corners, then divide by the third number. The "known corners" are top left and bottom right:</p>
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<p class="center larger">Percent = (3 × 100) / 16<br>
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= 300 / 16<br>
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= <b>18.75%</b></p>
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<h3>Answer: <span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span> is <b>18.75%</b> (same answer as the previous example!)</h3>
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</div>
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<p> </p>
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<div class="questions">
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<script>getQ(902, 903, 1325, 1326, 3520, 3521, 3522, 3523);</script> </div>
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<div class="related">
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<a href="converting-percents-fractions.html">Convert Percents to Fractions</a>
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<a href="percentage-calculator.html">Percentage Calculator</a>
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<a href="decimal-fraction-percentage.html">Decimals, Fractions and Percentages</a>
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<a href="fractions.html">Introduction to Fractions</a>
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<a href="percentage.html">Introduction to Percentages</a>
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<a href="fractions-menu.html">Fractions Index</a>
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<a href="percentage-menu.html">Percents Index</a>
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</div>
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Copyright © 2020 MathsIsFun.com
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