Question

Identify the pairs of equivalent rational numbers.

$\frac{33}{-21},\frac{7}{-11}$

Answer 1

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

$\Rightarrow \frac{33}{-21}=\frac{33\times \left(-1\right)}{-21\times \left(-1\right)}=\frac{-33}{21}$

$\Rightarrow \frac{-33}{21}=\frac{-3\times 11}{3\times 7}=\frac{-11}{7}$

and

$\Rightarrow \frac{7}{-11}=\frac{7\times \left(-1\right)}{-11\times \left(-1\right)}=\frac{-7}{11}$

Since, $\frac{-11}{7}$ $\ne$ $\frac{-7}{11}$

Hence, $\frac{33}{-21}$ and $\frac{7}{-11}$ are not equivalent.