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191 lines
7.3 KiB
HTML
191 lines
7.3 KiB
HTML
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<!-- Mirrored from www.mathsisfun.com/numbers/fractions-division-whole-numbers.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:59:32 GMT -->
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<head>
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<title>Dividing Fractions By Whole Numbers</title>
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<div align="center">
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<h1>Dividing Fractions By Whole Numbers</h1>
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<i>Multiply the bottom number of the fraction by the whole number.</i></div>
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<h2>To Divide a Fraction by a Whole Number:</h2>
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<div class="clear">
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<div class="bigul">
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<ul>
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<li>Step 1. Multiply the bottom number of the fraction by the whole number </li>
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<li>Step 2. <a href="../simplifying-fractions.html">Simplify</a> the fraction (if needed)</li>
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</ul>
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</div>
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</div>
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<div class="example">
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<h3>Example:
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<div class="center">
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<span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> ÷ 3
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</div>
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</h3>
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<p>Step 1. Multiply the bottom number of the fraction by the whole number:<br />
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</p>
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<p class="center larger"> <span class="intbl">
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<em>1</em>
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<strong>2 × 3</strong></span></p>
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<p>Which equals:</p>
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<p class="center larger"><span class="intbl">
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<em>1</em>
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<strong>6</strong>
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</span></p>
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<p>Step 2. Fraction is already as simple as possible, so no need for step 2. </p>
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<p>Answer:</p>
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<p class="center larger"> <span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> ÷ 3 = <span class="intbl">
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<em>1</em>
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<strong>6</strong>
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</span></p>
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</div>
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<h3>With Pen and Paper</h3>
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<p>And here is how to do it with a pen and paper (press the play button):</p>
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<script type="text/javascript">playerMain("images/fractions-div-whole-a.txt",600,160);</script>
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<div class="center80">
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<h3>Does it make sense?</h3>
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<p> </p>
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<p class="center larger">Does <span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> ÷ 3 really equal <span class="intbl">
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<em>1</em>
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<strong>6</strong>
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</span> ?</p>
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<p> </p>
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<p>Well look at the pizzas below ... </p>
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<p>When half a pizza is divided into 3 equal parts, each person gets one sixth of a whole pizza.</p>
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<table border="0" align="center">
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<tr align="center">
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<td bgcolor="#FFFFFF" class="large"> </td>
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<td bgcolor="#FFFFFF"><span class="large">A Half:</span></td>
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<td bgcolor="#FFFFFF" class="large"> </td>
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<td bgcolor="#FFFFFF"><span class="large">Divided by 3:</span></td>
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<td bgcolor="#FFFFFF" class="large"> </td>
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</tr>
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<tr align="center">
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<td bgcolor="#FFFFFF" class="large"> </td>
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<td bgcolor="#FFFFFF"><img src="../images/fractions/pizza-3-6.jpg" alt="3/6" width="112" height="111" /></td>
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<td width="30" bgcolor="#FFFFFF" class="large"> </td>
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<td bgcolor="#FFFFFF"><img src="../images/fractions/pizza-1-6.jpg" alt="1/6" width="112" height="111" /></td>
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<td bgcolor="#FFFFFF" class="large">Answer:<br>
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<b><span class="intbl"><em>1</em><strong>6</strong></span></b></td>
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</tr>
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</table>
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</div>
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<p>Another example:
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</p>
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<div class="example">
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<h3>Example:
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<div class="center"> <span class="intbl">
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<em>2</em>
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<strong>5</strong>
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</span> ÷ 4</div></h3>
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<p>Step 1. Multiply the bottom number of the fraction by the whole number:<br />
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</p>
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<p class="center larger"> <span class="intbl">
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<em>2</em>
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<strong>5 × 4</strong>
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</span> = <span class="intbl">
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<em>2</em>
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<strong>20</strong>
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</span></p>
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<p>Step 2. Simplify the fraction:</p>
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<p class="center larger"> <span class="intbl">
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<em>2</em>
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<strong>20</strong>
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</span> = <span class="intbl">
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<em>1</em>
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<strong>10</strong>
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</span></p>
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<p>And that is all we have to do.</p>
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</div>
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<p> </p>
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<div class="questions">
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<script type="text/javascript">getQ(5935, 5936, 5937, 5938, 5939, 3579, 3580, 3581, 3582, 3583, 3584);</script>
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</div>
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<div class="related"> <a href="../fractions.html">Introduction to Fractions</a> <a href="../fractions_multiplication.html">Multiplying Fractions</a> <a href="../simplifying-fractions.html">Simplifying Fractions</a> <a href="../equivalent_fractions.html">Equivalent Fractions</a> <a href="../fractions_addition.html">Adding Fractions</a> <a href="../fractions_subtraction.html">Subtracting Fractions</a> <a href="../divisibility-rules.html">Divisibility Rules</a> <a href="../fractions-menu.html">Fractions Index</a></div>
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Copyright © 2017 MathsIsFun.com
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