Question

Form three different equivalent fractions.

$\frac{6}{7}$

Answer 1

An equivalent fraction of a given fraction is obtained by multiplying the numerator and denominator of the fraction by the same number (other than zero).

Here, the given fraction is $\frac{6}{7}$. Now, the three different equivalent forms can be obtained as:

$1)$ $\frac{6}{7}$ $=\frac{6\times 2}{7\times 2}$ [multiplying by $2$]

$=$$\frac{12}{14}$

$2)$ $\frac{6}{7}$$=\frac{6\times 3}{7\times 3}$ [Multiplying by $3$]

$=$ $\frac{18}{21}$

$3)$ $\frac{6}{7}$ $=\frac{6\times 4}{7\times 4}$[Multiplying by $4$]

$=$ $\frac{24}{28}$

Therefore, three equivalent forms of $\frac{6}{7}$ are $\frac{12}{14}$, $\frac{18}{21}$ and $\frac{24}{28}$.