Question

Find four equivalent fractions of the given fraction:

$\frac{6}{12}$

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 $\frac{6}{12}$.

Let us multiply $2$ in both the numerator and denominator $=\frac{6\times 2}{12\times 2}=\frac{12}{24}$

So, $\frac{12}{24}$ is an equivalent fraction of $\frac{6}{12}$.

Similarly multiply $3,4,5$ in both the numerator and denominator one by one to obtain $3$ more equivalent fractions of $\frac{6}{12}$.

Multiplying with $3$ $=\frac{6\times 3}{12\times 3}=\frac{18}{36}$

Multiplying with $4$ $=\frac{6\times 4}{12\times 4}=\frac{24}{48}$

Multiplying with $5$ $=\frac{6\times 5}{12\times 5}=\frac{30}{60}$

Hence, $\frac{12}{24}$, $\frac{18}{36}$, $\frac{24}{48}$, $\frac{30}{60}$ are four equivalent fractions of $\frac{6}{12}$.