Question

Convert the following unlike fractions to like fractions: $\frac{2}{5},\frac{2}{3}$

• A. $\frac{10}{25},\frac{24}{25}$
• B. $\frac{6}{15},\frac{10}{15}$
• C. $\frac{10}{30},\frac{24}{30}$
• D. $\frac{12}{25},\frac{20}{25}$

Answer 1

The correct option is B

$\frac{6}{15},\frac{10}{15}$

$\frac{2}{5},\frac{2}{3}$
LCM of 5 and 3 is 15.
$\frac{2}{5}=\frac{2\times 3}{5\times 3}=\frac{6}{15}\frac{2}{3}=\frac{2\times 5}{3\times 5}=\frac{10}{15}$

$\therefore$ Like fractions are $\frac{6}{15},\frac{10}{15}$.