Question

Write the additive inverse of the given rational number:

$\frac{-2}{-3}$

Answer 1

The additive inverse of a number is that number, when added to the given number, gives a sum of zero.

$\frac{-2}{-3}=\frac{-1\times 2}{-1\times 3}=\frac{2}{3}$

So, the additive inverse of $\frac{2}{3}$ is $-\frac{2}{3}$ as $\frac{2}{3}+(-\frac{2}{3})=0$