By what number should


By what number should $\left(\frac{1}{2}\right)^{-1}$ be multiplied so that the product may be equal to $\left(\frac{-4}{7}\right)^{-1} ?$


Expressing in fractional form, we get:

(1/2)−1 = 2,       ---> (a−1 = 1/a)


(−4/7)−1 = −7/4     ---> (a−1 = 1/a)

We have to find a number x such that

$2 x=-\frac{7}{4}$

Dividing both sides by 2, we get:


Hence, (1/2)−1 should be multiplied by −7/8 to obtain (−4/7)−1.

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