Question

Which is greater:
$\frac{2}{7}$ of $\frac{3}{4}$ or $\frac{3}{5}$ of $\frac{5}{8}$.

Answer 1

$\frac{2}{7}$ of $\frac{3}{4}$ or $\frac{3}{5}$ of $\frac{5}{8}$

$\Rightarrow \frac{2}{7}\times \frac{3}{4}$ or $\frac{3}{5}\times \frac{5}{8}$

$\Rightarrow \frac{3}{14}$ or $\frac{3}{8}$
We know that fractions with same numerator, the fraction that has smaller denominator is greater.
$\Rightarrow \frac{3}{14}<\frac{3}{8}$

Thus, $\frac{3}{5}$ of $\frac{5}{8}$ is greater.