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312 lines
10 KiB
HTML
312 lines
10 KiB
HTML
<!doctype html>
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<!-- #BeginEditable "doctitle" -->
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<title>Multiplying Fractions</title>
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<meta name="description" content="There are 3 simple steps to multiply fractions: 1. Multiply the top numbers (the numerators), 2. Multiply the bottom numbers (the denominators), 3. Simplify the fraction if needed.">
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<div id="hdr"></div>
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<!-- #BeginEditable "Body" -->
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<span class="video">yVx_d30mjAE</span>
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<h1 id="title" align="center">Multiplying Fractions</h1>
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<p class="center"><i>Multiply the tops, multiply the bottoms.</i></p>
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<div style="float:right; margin: 0 0 5px 10px;">
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<iframe src="https://www.youtube.com/embed/_7iIvH0GCdU?rel=0&showinfo=0" allowfullscreen="" height="179" frameborder="0" width="320"></iframe>
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</div>
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<h3>There are 3 simple steps to multiply fractions</h3>
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<p>1. Multiply the top numbers (the <i>numerators</i>).</p>
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<p>2. Multiply the bottom numbers (the <i>denominators</i>).</p>
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<p>3. <a href="simplifying-fractions.html">Simplify</a> the fraction if needed.</p>
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<div style="clear:both"></div>
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<div class="example">
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<h3>Example:
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<div class="center large"><span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> × <span class="intbl">
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<em>2</em>
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<strong>5</strong>
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</span></div></h3>
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<p><b>Step 1</b>. Multiply the top numbers:</p>
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<p class="center large"><span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> × <span class="intbl">
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<em>2</em>
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<strong>5</strong>
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</span> = <span class="intbl">
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<em>1 × 2</em>
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<strong> </strong>
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</span> = <span class="intbl">
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<em>2</em>
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<strong> </strong>
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</span></p>
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<p><b>Step 2</b>. Multiply the bottom numbers:</p>
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<p class="center large"><span class="intbl">
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<em>1</em>
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<strong>2</strong>
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</span> × <span class="intbl">
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<em>2</em>
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<strong>5</strong>
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</span> = <span class="intbl">
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<em>1 × 2</em>
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<strong>2 × 5</strong>
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</span> = <span class="intbl">
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<em>2</em>
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<strong>10</strong>
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</span></p>
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<p><br>
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<b>Step 3</b>. <a href="simplifying-fractions.html">Simplify the fraction</a>:</p>
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<p class="center large"><span class="intbl">
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<em>2</em>
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<strong>10</strong>
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</span> = <span class="intbl">
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<em>1</em>
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<strong>5</strong>
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</span></p>
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</div>
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<h3>With Pizza</h3>
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<p>Here you can see it with pizza ...</p>
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<p class="center"><img src="numbers/images/frac-multiply-2-5.svg" alt="frac multiply 1/2 by 2/5 = 1/5" height="149" width="433" ></p>
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<p class="center">Do you see that half of two-fifths is two-tenths?<br>
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Do you also see that two-tenths is simpler as one-fifth?</p>
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<p> </p>
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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>playerMain("numbers/images/fractions-mult-a.txt",600,120,'');</script>
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<p> </p>
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<div class="example">
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<h3>Another Example:
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<div class="center large"><span class="intbl">
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<em>1</em>
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<strong>3</strong>
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</span> × <span class="intbl">
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<em>9</em>
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<strong>16</strong>
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</span></div></h3>
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<p><b>Step 1</b>. Multiply the top numbers:</p>
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<p class="center large"><span class="intbl">
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<em>1</em>
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<strong>3</strong>
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</span> × <span class="intbl">
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<em>9</em>
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<strong>16</strong>
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</span> = <span class="intbl">
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<em>1 × 9</em>
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<strong> </strong>
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</span> = <span class="intbl">
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<em>9</em>
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<strong> </strong>
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</span></p>
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<p><b>Step 2</b>. Multiply the bottom numbers:</p>
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<p class="center large"><span class="intbl">
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<em>1</em>
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<strong>3</strong>
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</span> × <span class="intbl">
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<em>9</em>
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<strong>16</strong>
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</span> = <span class="intbl">
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<em>1 × 9</em>
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<strong>3 × 16</strong>
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</span> = <span class="intbl">
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<em>9</em>
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<strong>48</strong>
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</span></p>
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<p><br>
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<b>Step 3</b>. Simplify the fraction:</p>
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<p class="center large"><span class="intbl">
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<em>9</em>
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<strong>48</strong>
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</span> = <span class="intbl">
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<em>3</em>
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<strong>16</strong>
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</span></p>
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<p><br>
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<span class="center">(This time we simplified by dividing both top and bottom by 3)</span></p>
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</div>
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<h2>The Rhyme</h2>
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<p class="center larger"><i><span class="times">♫</span> "Multiplying fractions: no big problem,<br>
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Top times top over bottom times bottom.</i> <i><br>
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"And don't forget to simplify,<br>
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Before it's time to say goodbye"<span class="times"> ♫</span></i></p>
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<h2>Fractions and Whole Numbers</h2>
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<p>What about multiplying fractions <b>and</b> whole numbers?</p>
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<p><b>Make the whole number a fraction, by putting it over 1.</b></p>
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<div class="center80">
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<p class="center large">Example: 5 is also <span class="intbl">
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<em>5</em>
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<strong>1</strong>
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</span></p>
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</div>
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<p>Then continue as before.</p>
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<div class="example">
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<h3>Example:
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<div class="center large"><span class="intbl">
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<em>2</em>
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<strong>3</strong>
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</span> × 5</div></h3>
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<p>Make 5 into <span class="intbl">
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<em>5</em>
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<strong>1</strong>
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</span> :</p>
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<p class="center large"><span class="intbl">
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<em>2</em>
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<strong>3</strong>
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</span> × <span class="intbl">
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<em>5</em>
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<strong>1</strong>
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</span></p>
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<p>Now just go ahead as normal.</p>
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<p>Multiply tops and bottoms:</p>
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<p class="center large"><span class="intbl">
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<em>2</em>
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<strong>3</strong>
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</span> × <span class="intbl">
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<em>5</em>
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<strong>1</strong>
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</span> = <span class="intbl">
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<em>2 × 5</em>
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<strong>3 × 1</strong>
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</span> = <span class="intbl">
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<em>10</em>
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<strong>3</strong>
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</span></p>
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<p>The fraction is already as simple as it can be.</p>
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<p class="center large">Answer = <span class="intbl">
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<em>10</em>
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<strong>3</strong>
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</span></p>
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</div>
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<p>Or you can just think of the whole number as being a "top" number:</p>
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<div class="example">
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<h3>Example:
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<div class="center large">3 × <span class="intbl">
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<em>2</em>
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<strong>9</strong>
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</span></div></h3>
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<p>Multiply tops and bottoms:</p>
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<p class="center large"><span class="intbl">
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<em>3</em>
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<strong> </strong>
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</span> × <span class="intbl">
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<em>2</em>
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<strong>9</strong>
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</span> = <span class="intbl">
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<em>3 × 2</em>
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<strong>9</strong>
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</span> = <span class="intbl">
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<em>6</em>
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<strong>9</strong>
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</span></p>
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<p>Simplify:</p>
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<p class="center large"><span class="intbl">
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<em>6</em>
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<strong>9</strong>
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</span> = <span class="intbl">
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<em>2</em>
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<strong>3</strong>
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</span></p>
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</div>
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<p> </p>
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<h2>Mixed Fractions</h2>
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<p>You can also read how to <a href="mixed-fractions-multiply.html">multiply mixed fractions</a></p>
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<p> </p>
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<div class="questions">1407,437,430, 1408, 1409, 1410, 3569, 3570, 3571, 3572</div>
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<div class="related">
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<a href="fractions.html">Introduction to Fractions</a>
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<a href="simplifying-fractions.html">Simplifying Fractions</a>
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<a href="equivalent_fractions.html">Equivalent Fractions</a>
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<a href="fractions_addition.html">Adding Fractions</a>
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<a href="fractions_subtraction.html">Subtracting Fractions</a>
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<a href="fractions_division.html">Dividing Fractions</a>
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<a href="fractions-menu.html">Fractions Index</a>
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</div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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