34 lines
1.8 KiB
Markdown
34 lines
1.8 KiB
Markdown
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---
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title: Dividing Fractions
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---
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## Dividing Fractions
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This is similar to multiplying two fractions, with an additional step
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Consider the expression A ÷ B, here A is called the <i>dividend</i> and B is called the <i>divisor</i>.
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Here are the steps to divide two fractions,
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1. Take the reciprocal of the divisor fraction (B).
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2. Multiply the dividend fraction (A) with the reciprocal of the divisor fraction
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3. Simplify the resultant fraction, if possible
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#### Examples
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##### Example 1
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<pre> <span class="fraction"><sup>2</sup>⁄<sub>3</sub></span> ÷ <span class="fraction"><sup>6</sup>⁄<sub>7</sub></span> </pre>
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1. Take the reciprocal of the divisor. To take a reciprocal of a fraction, interchange the numerator and denominator of that fraction. The reciprocal of <span class="fraction"><sup>6</sup>⁄<sub>7</sub></span> is <span class="fraction"><sup>7</sup>⁄<sub>6</sub></span>
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2. Multiply the dividend with the reciprocal of the divisor
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<pre> <span class="fraction"><sup>2</sup>⁄<sub>3</sub></span> ÷ <span class="fraction"><sup>6</sup>⁄<sub>7</sub></span> = <span class="fraction"><sup>2</sup>⁄<sub>3</sub></span> × <span class="fraction"><sup>7</sup>⁄<sub>6</sub></span> = <span class="fraction"><sup>7</sup>⁄<sub>9</sub></span> </pre>
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##### Example 2
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<pre> <span class="fraction"><sup>4</sup>⁄<sub>6</sub></span> ÷ 2 </span> = <span class="fraction"><sup>4</sup>⁄<sub>6</sub></span> × <span class="fraction"><sup>1</sup>⁄<sub>2</sub></span> = <span class="fraction"><sup>4</sup>⁄<sub>12</sub></span> = <span class="fraction"><sup>1</sup>⁄<sub>3</sub></span> (Simplified) </pre>
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Please note a whole number can be considered as a fraction by considering its denominator as 1.
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<br>Also, you can only divide by non-zero fractions.
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