Question

Which fraction is not equivalent to $\frac{2}{3}$.

• A. $\frac{8}{12}$
• B. $\frac{14}{21}$
• C. $\frac{4}{9}$
• D. $\frac{10}{15}$

Answer 1

The correct option is C

$\frac{4}{9}$

Explanation for the correct option:

Checking whether the fraction is equivalent to $\frac{2}{3}$:

Definition of equivalent fraction : Two or more fractions having the same value or representing same part of a whole are called equivalent fractions.

Option(C):

$\frac{4}{9}$ is not a multiple of $\frac{2}{3}$.

Explanation for the in-correct options:

Option(A):

$\Rightarrow \frac{8}{12}=\frac{2\times 4}{3\times 4}=\frac{2}{3}$

Option(B):

$\Rightarrow \frac{14}{21}=\frac{2\times 7}{3\times 7}=\frac{2}{3}$

Option(D):

$\Rightarrow \frac{10}{15}=\frac{2\times 5}{3\times 5}=\frac{2}{3}$

So, $\frac{2}{3}$ and $\frac{4}{9}$ are not equivalent.

Therefore, option C is the correct answer.