Question

What are two equivalent fractions for $\frac{4}{7}$.

Answer 1

Determining the two equivalent fractions for $\frac{4}{7}$:

To create equivalent fractions from a given fraction.

Divide the numerator or denominator by a common factor and multiply the numerator and denominator by the same value.

$4$ and $7$ have no common factor, other than $1$ ,

Hence division does not give an equivalent fraction.

Thus we multiply by any value to produce an equivalent fraction.

Choose the value $2$.

$\frac{4}{7}\times \frac{2}{2}=\frac{8}{14}$

Choose the value $3$

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

Therefore, the two equivalent fractions for $\frac{4}{7}$ is $\frac{8}{14}$ and $\frac{12}{21}$.