30 lines
1.5 KiB
Markdown
30 lines
1.5 KiB
Markdown
---
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title: Multiplying Fractions
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---
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## Multiplying Fractions
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A fraction is generally used to represent a number which is a ratio of two numbers.
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Consider the fraction <span class="fraction"><sup>4</sup>⁄<sub>5</sub></span>, here 4 is called the numerator and 5 is called the denominator.
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Here are the steps to multiply two fractions
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1. Multiply the numerator and denominator of the fractions
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2. If possible, simplify the resultant fraction
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#### Example 1
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<pre> <span class="fraction"><sup>4</sup>⁄<sub>5</sub></span> × <span class="fraction"><sup>3</sup>⁄<sub>5</sub></span> = <span class="fraction"><sup>(4 × 3)</sup>⁄<sub>(5 × 5)</sub></span> = <span class="fraction"><sup>12</sup>⁄<sub>25</sub></span> </pre>
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#### Example 2
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<pre> <span class="fraction"><sup>4</sup>⁄<sub>5</sub></span> × <span class="fraction"><sup>3</sup>⁄<sub>2</sub></span> = <span class="fraction"><sup>(4 × 3)</sup>⁄<sub>(5 × 2)</sub></span> = <span class="fraction"><sup>12</sup>⁄<sub>10</sub></span> = <span class="fraction"><sup>6</sup>⁄<sub>5</sub></span> (Simplified) </pre>
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#### Example 3
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Multiplying fractions with whole number.
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Please note that a whole number can also be considered as a fraction by considering it's denominator as 1.
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<pre> <span class="fraction"><sup>4</sup>⁄<sub>5</sub></span> × 2 = <span class="fraction"><sup>(4 × 2)</sup>⁄<sub>(5 × 1)</sub></span> = <span class="fraction"><sup>8</sup>⁄<sub>5</sub></span> </pre>
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