# What are two equivalent fractions for 4/7?

Nov 14, 2016

$\frac{8}{14} \text{ and } \frac{12}{21}$

#### Explanation:

To create equivalent fractions from a given fraction.

• " divide the numerator/ denominator by a common factor"

• " multiply the numerator/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.

$\Rightarrow \frac{4}{7} \times \frac{2}{2} = \frac{4 \times 2}{7 \times 2} = \frac{8}{14} \leftarrow \text{ is equivalent}$

Choose the value 3

$\Rightarrow \frac{4}{7} \times \frac{3}{3} = \frac{4 \times 3}{7 \times 3} = \frac{12}{21} \leftarrow \text{ is equivalent}$