Question

The equivalent fraction of $\frac{6}{7}$ is __.

• A. $\frac{1}{14}$
• B. $\frac{12}{14}$
• C. $\frac{18}{28}$
• D. $\frac{30}{56}$

Answer 1

The correct option is B $\frac{12}{14}$

Let us first convert $\frac{6}{7}$ to a fraction with denominator 14.
$\therefore \frac{6}{7}=\frac{6\times 2}{7\times 2}=\frac{12}{14}$

If we convert $\frac{6}{7}$ to a fraction with denominator 28, it becomes
$\frac{6}{7}=\frac{6\times 4}{7\times 4}=\frac{24}{28}$

If we convert $\frac{6}{7}$ to a fraction with denominator 56, it becomes
$\frac{6}{7}=\frac{6\times 8}{7\times 8}=\frac{48}{56}$

∴ Equivalent fraction of $\frac{6}{7}$ is $\frac{12}{14}$.