Question

Which is greater:

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

Answer 1

${\displaystyle \frac{2}{7}\times \frac{3}{4}=\frac{3}{14}}$

${\displaystyle \frac{3}{5}\times \frac{5}{8}=\frac{3}{8}}$

Converting these fractions into like fractions

${\displaystyle \frac{3}{14}=\frac{3\times 4}{14\times 4}=\frac{12}{56}}$

${\displaystyle \frac{3}{8}=\frac{3\times 7}{8\times 7}=\frac{21}{56}}$

Since ${\displaystyle \frac{21}{56}>\frac{12}{56}}$

∴ ${\displaystyle \frac{3}{8}>\frac{3}{14}}$

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