Multiply 6-13 by the reciprocal of -7-16-

Given fractions 6/13 and 7/16Reciprocal of 7/16 is 1/ 7/16=16/ 7Thus, multiply 6/13 by the reciprocal of 7/16 is 6/13×16/ 7= 96/91Thus, 96/91 is the require ...

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Standard VII

Mathematics

Negatives and Reciprocals

Multiply 6/13...

Question

Multiply $\frac{6}{13}$ by the reciprocal of $\frac{- 7}{16}$ .

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Solution

Given fractions $\frac{6}{13}$ and $\frac{- 7}{16}$
Reciprocal of $\frac{- 7}{16}$ is $\frac{1}{\frac{- 7}{16}} = \frac{16}{- 7}$
Thus, multiply $\frac{6}{13}$ by the reciprocal of $\frac{- 7}{16}$ is $\frac{6}{13} \times \frac{16}{- 7}$
$= \frac{- 96}{91}$
Thus, $\frac{- 96}{91}$ is the required answer.

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Multiply 613 by the reciprocal of −716.

Given fractions 613 and −716Reciprocal of −716 is 1−716=16−7Thus, multiply 613 by the reciprocal of −716 is 613×16−7=−9691Thus, −9691 is the required answer.

Multiply $\frac{6}{13}$ by the reciprocal of $\frac{- 7}{16}$ .