Question

Convert the following unlike fractions to like fractions: $\frac{1}{5},\frac{3}{10}$

• A. $\frac{3}{15},\frac{4}{15}$
• B. $\frac{2}{10},\frac{3}{10}$
• C. $\frac{4}{25},\frac{15}{25}$
• D. $\frac{15}{30},\frac{27}{30}$

Answer 1

The correct option is B

$\frac{2}{10},\frac{3}{10}$

To convert $\frac{1}{5},\frac{3}{10}$ to like fractions, we have to make the denominator same for both.

LCM of 5 and 10 is 10, as 5 is a multiple of 10.

Multiplying both numerator and denominator of $\frac{1}{5}$ by 2, we get,
$\frac{1}{5}=\frac{1\times 2}{5\times 2}=\frac{2}{10}$

$\therefore$ Like fractions are $\frac{2}{10}$ and $\frac{3}{10}$