Question

Write additive inverse of $\frac{2}{8}$ and $\frac{6}{5}$.

Answer 1

Find the additive inverse of $\frac{2}{8}$and $\frac{6}{5}$.

When we add a number and its additive inverse, the sum is zero. To find the additive inverse of a number, we have to change the sign of the number.

The additive inverse of a number $a$ is $-a$.

$a+\left(-a\right)=0$

Now,

As $\frac{2}{8}+(-\frac{2}{8})=1$

Additive inverse of $\frac{2}{8}$ is $-\frac{2}{8}$.

As $\frac{6}{5}+(-\frac{6}{5})=1$

Additive inverse of $\frac{6}{5}$ is $-\frac{6}{5}$.

Thus, additive inverse of $\frac{2}{8}$and $\frac{6}{5}$ are$-\frac{2}{8}$ and $-\frac{6}{5}$, respectively.