Question

Convert the given pair of fractions into like fractions: $\frac{1}{3}$ and $\frac{2}{5}$.

• A. $\frac{5}{15}$ and $\frac{6}{15}$
• B. $\frac{1}{3}$ and $\frac{6}{15}$
• C. $\frac{5}{15}$ and $\frac{2}{5}$
• D. $\frac{1}{3}$ and $\frac{2}{5}$

Answer 1

The correct option is A $\frac{5}{15}$ and $\frac{6}{15}$

Like fractions have the same denominator. But here we have 3 and 5 as the denominators in the given pair of fractions $\frac{1}{3}$ and $\frac{2}{5}$, and these are different.

So, by multiplying numerator and denominator of $\frac{1}{3}$ by 5 and that of $\frac{2}{5}$ by 3, we get

$\frac{1}{3}=\frac{1\times 5}{3\times 5}=\frac{5}{15}$
$\frac{2}{5}=\frac{2\times 3}{5\times 3}=\frac{6}{15}$

And, $\frac{5}{15}$ and $\frac{6}{15}$ are a pair of like fractions.