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Mathematics

Find the reciprocal (multiplicative inverse) of:
$\dfrac{-3}{5} \times \dfrac{-1}{13}$

Rational Numbers

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Answer

$\dfrac{-3}{5} \times \dfrac{-1}{13}\\[1em] =\dfrac{-3 \times (-1)}{5 \times 13}\\[1em] =\dfrac{3}{65}$

The multiplicative inverse of $\dfrac{3}{65}$ = reciprocal of $\dfrac{3}{65}$ = $\dfrac{65}{3} = 21\dfrac{2}{3}$ .

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