Question

The additive inverse of $\frac{-a}{b}$ is __________.

• A. $\frac{a}{b}$
• B. $\frac{b}{a}$
• C. $\frac{-b}{a}$
• D. None of these

Answer 1

The correct option is A $\frac{a}{b}$

The additive inverse of any number $x$ is defined as

$x+y=0$

Then $y$ is the additive inverse of $x$.

Say, the additive inverse of $-\frac{a}{b}$ is $z$.

$\Rightarrow -\frac{a}{b}+z=0$

$\Rightarrow z=\frac{a}{b}$