Question

Among the given options, find all the equivalent fractions of $\frac{1}{5}$
(Note: There can be more than one correct answer.)

• A. $\frac{3}{15}$
• B. $\frac{10}{2}$
• C. $\frac{6}{10}$
• D. $\frac{2}{10}$

Answer 1

Answer: (A), (D)

$\frac{2}{10}$

Multiplying the numerator and denominator by $2:$
$\frac{1\times 2}{5\times 2}=\frac{2}{10}$
Multiplying the numerator and denominator by $3:$
$\frac{1\times 3}{5\times 3}=\frac{3}{15}$
Only $\frac{2}{10}$ and $\frac{3}{15}$ can be obtained by multiplying the numerator and the denominator by the same number.
So, $\frac{2}{10}$ and $\frac{3}{15}$ are the equivalent fractions of $\frac{1}{5}$.