While dividing a fraction by another fraction, we ___ the first fraction by the _ of the other fraction.. Fill in the blanks.

multiply

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reciprocal

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Solution

Explanation.
When we divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the other fraction as
$\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \times d}{b \times c}$
Hence, while dividing a fraction by another fraction, we multiply the first fraction by the reciprocal of the other fraction.

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100.

if we multiply a fraction by itself and divide the product by the reciprocal, the fraction bcomes 1826/27. what is the original fraction.

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