Question

Which of the following are equivalent fractions?

• A. $\frac{2}{3}$ and $\frac{8}{9}$
• B. $\frac{2}{3}$ and $\frac{1}{3}$
• C. $\frac{2}{3}$ and $\frac{6}{9}$
• D. $\frac{2}{3}$ and $\frac{2}{9}$

Answer 1

The correct option is C $\frac{2}{3}$ and $\frac{6}{9}$

If we multiply both numberator and denominator of a fraction by the same number, we get it's equivalent fraction.

Upon multiplying both numberator and denominator of $\frac{2}{3}$ by 3 we get $\frac{6}{9}$

i.e. $\frac{2\times 3}{3\times 3}=\frac{6}{9}$

$\therefore$ $\frac{6}{9}$ is a equivalent fraction of $\frac{2}{3}$