Question

Mark the correct alternative in each of the following:

The multiplicative inverse of $\frac{4}{-5}$ is

(a) $-\frac{4}{5}$ (b) $\frac{5}{4}$ (c) $\frac{5}{-4}$ (d) $\frac{-5}{-4}$

Answer 1

We know that the multiplicative inverse of the rational number $\frac{a}{b}$ is $\frac{b}{a}$.

∴ Multiplicative inverse of $\frac{4}{-5}$$=\frac{-5}{4}=\frac{5}{-4}$

Hence, the correct answer is option (c).