Question

State whether true or false

$\frac{2}{5}$ of $\frac{4}{7}$ is smaller than $\frac{3}{4}$ of $\frac{1}{2}$

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{2}{5}$ of $\frac{4}{7}=\frac{2\times 4}{5\times 7}=\frac{8}{35}$

$\frac{3}{4}$ of $\frac{1}{2}=\frac{3\times 1}{4\times 2}=\frac{3}{8}$

To compare two fractions let us make the denominators same.

LC.M of $8,35=280$

$\therefore \frac{8\times 8}{35\times 8}=\frac{64}{280}$

And $\frac{3\times 35}{8\times 35}=\frac{105}{280}$

We have $\frac{105}{280}>\frac{64}{280}$

Hence $\frac{3}{8}>\frac{8}{35}$