Question

Identify the pairs of equivalent rational numbers.

$\frac{8}{9},\frac{-24}{-27}$

Answer 1

Two rational numbers are said to be equal when their standard forms are equal.

$\Rightarrow \frac{8}{9}=\frac{8}{9}$

and

$\Rightarrow \frac{-24}{-27}=\frac{-24\times \left(-1\right)}{-27\times \left(-1\right)}=\frac{24}{27}$

$\Rightarrow \frac{24}{27}=\frac{8\times 3}{9\times 3}=\frac{8}{9}$

Since, $\frac{8}{9}$ $=$ $\frac{8}{9}$

Hence, $\frac{8}{9}$ and $\frac{-24}{-27}$ are equivalent.