Question

Evaluate $\frac{3}{5}$ $÷$ ($\frac{15}{50}$ of $\frac{2}{5}$).

• A. 5
• B. -5
• C. $\frac{4}{3}$
• D. $\frac{1}{4}$

Answer 1

The correct option is A

5

$\frac{3}{5}$ $÷$ ($\frac{15}{50}$ of $\frac{2}{5}$)

= $\frac{3}{5}$ $÷$ $\frac{3}{25}$

{ $\because$ $\frac{15}{50}$ of $\frac{2}{5}$ = $\frac{15}{50}$ $\times$ $\frac{2}{5}$ = $\frac{3}{25}$ }

= $\frac{3}{5}$ $\times$ $\frac{25}{3}$

( Taking reciprocal of the second fraction and multiplying)

= 5