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Q.

The reciprocal of $(\frac{6}{7})$ is

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a

$\frac{7}{6}$

b

${(\frac{7}{6})}^{- 1}$

c

1

d

$\frac{6}{7}$

answer is C.

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Detailed Solution

Given $\frac{6}{7}$

Multiplicative inverse of $\frac{6}{7} is \frac{7}{6}$ .

$∴ \frac{6}{7} \times \frac{7}{6} = 1$

$∴ Reciprocal of \frac{6}{7} is \frac{7}{6}$ .

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The reciprocal of 67 is