Question

Identify the pairs of equivalent rational numbers.

$\frac{-24}{30},\frac{8}{-15}$

Answer 1

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

$\Rightarrow \frac{-24}{30}=\frac{-6\times 4}{6\times 5}=\frac{-4}{5}$

and

$\Rightarrow \frac{8}{-15}=\frac{8\times \left(-1\right)}{-15\times \left(-1\right)}=\frac{-8}{15}$

Since, $\frac{-4}{5}$ $\ne$ $\frac{-8}{15}$

Hence, $\frac{-24}{15}$ and $\frac{8}{-15}$ are not equivalent.