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Question

The reciprocal of $$\dfrac{-3}{8} \times \left(\dfrac{-7}{13}\right)$$ is

A
$$\dfrac{104}{21}$$
B
$$\dfrac{-104}{21}$$
C
$$\dfrac{-21}{104}$$
D
$$\dfrac{21}{104}$$
Solution
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Correct option is A. $$\dfrac{104}{21}$$
We have $$\dfrac{-3}{8} \times \left(\dfrac{-7}{13}\right)=\dfrac{3\times 7}{8\times 13}=\dfrac {21}{104}$$

Let $$x$$ be its reciprocal.
Then $$x\times\dfrac{21}{104}=1$$
$$ \Rightarrow x=\dfrac {104}{21}$$

Hence, option A is the correct answer.

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