Question

The sum of a rational number $-\frac{1}{2}$and its multiplicative inverse is

a) $0$

b) $1$

c) $-2\frac{1}{2}$

d) $-2$

Answer 1

Multiplicative inverse of $-\frac{1}{2}$ is $-2$

[Since, multiplicative inverse of $\frac{a}{b}$ is $\frac{b}{a},a,b\ne 0$]

Now,

$-\frac{1}{2}+(-2)$

$=-\frac{1}{2}-2$

$=\frac{-1-4}{2}$

$=-\frac{5}{2}$

$=-2\frac{1}{2}$

Hence, option C is correct.