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Reciprocal of a Number

Question 86 i...

Question

Question 86 (iii)

Find the reciprocal of the following:
$\frac{3}{13} \div \frac{- 4}{65}$

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Solution

Given, $\frac{3}{13} \div \frac{- 4}{65}$
The reciprocal of $\frac{- 4}{65}$ is $\frac{65}{- 4}$
$∴ \frac{3}{13} \div \frac{- 4}{65} = \frac{3}{13} \times \frac{65}{- 4} = \frac{65 \times 3}{13 \times (- 4)} = \frac{15}{- 4}$ .

Hence, the reciprocal of $\frac{15}{- 4}$ is $\frac{- 4}{15}$ .

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Find the squares of the following numbers:

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Reciprocal of a Number

Standard VII Mathematics

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