− 15 51 is a multiplicative inverse of − 17 5 . Options: A . &nbsp True B . &nbsp False C . &nbsp 7 D . &nbsp 7 11

Answer: Option A : A Multiplicative inverse of a b is c d if a b × c d = 1 . Now, − 15 51 × − 17 5 = 3 3 = 1

−1551 is a multiplicative inverse of −175.

Question

$\frac{- 15}{51}$ is a multiplicative inverse of $\frac{- 17}{5}$ .

Options:

A . True

B . False

C .

7

D .

\frac{7}{11}

Answer: Option A
:
A

Multiplicative inverse of $\frac{a}{b}$ is $\frac{c}{d}$ if $\frac{a}{b} \times \frac{c}{d} = 1$ .
Now, $\frac{- 15}{51} \times \frac{- 17}{5} = \frac{3}{3} = 1$

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