Question

Find four equivalent fractions of the given fraction.

$\frac{4}{7}$

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 $\frac{4}{7}$.

Let us multiply $2$ in both the numerator and denominator $=\frac{4\times 2}{7\times 2}=\frac{8}{14}$

So, $\frac{8}{14}$ is an equivalent fraction of $\frac{4}{7}$.

Siimilarly multiply $3,4,5$ in both the numerator and denominator one by one to obtain $3$ more equivalent fractions of $\frac{4}{7}$.

Multiplying with $3$ $=\frac{4\times 3}{7\times 3}=\frac{12}{21}$

Multiplying with $4$ $=\frac{4\times 4}{7\times 4}=\frac{16}{28}$

Multiplying with $5$ $=\frac{4\times 5}{7\times 5}=\frac{20}{35}$

Hence, $\frac{8}{14}$, $\frac{12}{21}$, $\frac{16}{28}$, $\frac{20}{35}$ are the four equivalent fractions of $\frac{4}{7}$.