Question

Which of the following is an equivalent fraction of $\frac{12}{18}?$

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{4}{3}$
• D. $\frac{6}{3}$

Answer 1

The correct option is B

$\frac{2}{3}$

"6” is a common factor of both numerator and denominator of $\frac{12}{18}$.
[Since 12 = 6$\times$2 and 18 = 6$\times$3]
Dividing both numerator and denominator by 6, we get
$\frac{12}{18}=\frac{12÷6}{18÷6}=\frac{2}{3}$
Therefore, $\frac{2}{3}$ is an equivalent fraction of $\frac{12}{18}$.

(OR)

"2” is a common factor of both numerator and denominator of $\frac{12}{18}$.
Dividing both numerator and denominator by 2, we get
$\frac{12}{18}=\frac{12÷2}{18÷2}=\frac{6}{9}$

"3” is a common factor of both numerator and denominator of $\frac{6}{9}$.
Dividing the numerator and denominator of $\frac{6}{9}$ with 3, we get
$\frac{6}{9}=\frac{6÷3}{9÷3}=\frac{2}{3}$

Therefore, $\frac{12}{18}=\frac{6}{9}=\frac{2}{3}$
Therefore, $\frac{2}{3}$ is an equivalent fraction of $\frac{12}{18}$.