Question

Find four equivalent fractions of the given fraction:
$\frac{2}{3}$

Answer 1

Finding equivalent fractions:

To obtain equivalent fractions of a fraction, we have to either multiply or divide the same number in both the numerator and denominator.

The given fraction is $\frac{2}{3}$.

Let us multiply $2$ in both the numerator and denominator $=\frac{2\times 2}{3\times 2}=\frac{4}{6}$

So, $\frac{4}{6}$ is an equivalent fraction of $\frac{2}{3}$.

Siimilarly multiply $3,4,5$ in both the numerator and denominator one by one to obtain $3$ more equivalent fractions of $\frac{2}{3}$.

Multiplying with $3$ $=\frac{2\times 3}{3\times 3}=\frac{6}{9}$

Multiplying with $4$ $=\frac{2\times 4}{3\times 4}=\frac{8}{12}$

Multiplying with $5$ $=\frac{2\times 5}{3\times 5}=\frac{10}{15}$

Hence, $\frac{4}{6}$, $\frac{6}{9}$, $\frac{8}{12}$, $\frac{10}{15}$ are the four equivalent fractions of $\frac{2}{3}$.