Question

Which of the following fractions is/are equivalent fraction(s) of $\frac{1}{3}$?

• A. $\frac{2}{3}$
• B. $\frac{2}{6}$
• C. $\frac{3}{6}$
• D. $\frac{3}{9}$

Answer 1

Answer: (B), (D)

The correct options are
B $\frac{2}{6}$
D $\frac{3}{9}$

To find an equivalent fraction of a given fraction, you may multiply or divide both the numerator and the denominator of the given fraction by the same number.

Here, let us multiply both the numerator and denominator by 2.

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

Now, let us multiply both the numerator and denominator by 3.

$\frac{1}{3}=\frac{1\times 3}{3\times 3}=\frac{3}{9}$

So, $\frac{2}{6}$ and $\frac{3}{9}$ are equivalent fractions of $\frac{1}{3}$.