State whether the given statement is true or false.

Two fractions $\frac{4}{5} \mathrm{and} \frac{32}{45}$are equivalent.

The given fractions are $\frac{4}{5} \mathrm{and} \frac{32}{45}$.

We have $\frac{4}{5}$.

Now,

$\frac{4\times 9}{5\times 9}=\frac{36}{45}$

And,

$\frac{36}{45}\ne \frac{32}{45}$

Hence, the two fractions $\frac{4}{5} \mathrm{and} \frac{32}{45}$ are not equivalent.