Question

Which is smaller
$\frac{4}{7}or\frac{2}{5}$

Answer 1

Given fractions $\frac{4}{7},\frac{2}{5}$

To compare them make their denomomators the LCM of all denomiantors

LCM of $7,5=7\times 5=35$

$\frac{4}{7}=\frac{4}{7}\times \frac{5}{5}=\frac{20}{35}$;

$\frac{2}{5}=\frac{2}{5}\times \frac{7}{7}=\frac{14}{35}$

$\frac{20}{35}>\frac{14}{35}$

$\Rightarrow \frac{4}{7}>\frac{2}{5}$

$\frac{2}{5}$ is smaller.