Question

Which is the equivalent fraction of $\frac{2}{3}$?

• A. $\frac{3}{2}$
• B. $\frac{1}{3}$
• C. $\frac{8}{12}$
• D. $\frac{12}{8}$

Answer 1

The correct option is C $\frac{8}{12}$

The equivalent fraction of $\frac{2}{3}$ should have multiples of 2 and 3 in the numerator and denominator respectively.
a) In $\frac{3}{2}$ the numerator 3 is not a multiple of 2 and denominator 2 is not a multiple of 3.
b) In $\frac{1}{3}$ the numerator 1 is not a multiple of 2 and denominator 3 is not a multiple of 2.
c) In $\frac{8}{12}$ the numerator 8 is a multiple of 2 and denominator 12 is a multiple of 3. Also same number, 4, is multiplied with the numerator and denomitor to get $\frac{8}{12}$
d) In $\frac{12}{8}$ the numerator 12 is a multiple of 2 but the denominator 8 is not a multiple of 3.

Hence $\frac{8}{12}$ is the equivalent fraction of $\frac{2}{3}$.