Question

Which of the following pairs of fractions are not equivalent?

• A. $\frac{3}{4},\frac{15}{20}$
• B. $\frac{14}{21},\frac{4}{6}$
• C. $\frac{8}{10},\frac{12}{15}$
• D. $\frac{6}{14},\frac{10}{25}$

Answer 1

The correct option is D $\frac{6}{14},\frac{10}{25}$

We know that, equivalent fractions are those fractions that reduce to the same simplest form.

Here:

$\left(i\right)$ $\frac{15}{20}=\frac{3}{4}$

$\left(ii\right)$ $\frac{14}{21}=\frac{4}{6}=\frac{2}{3}$

$\left(iii\right)$ $\frac{8}{10}=\frac{12}{15}=\frac{4}{5}$

$\left(iv\right)$ $\frac{6}{14}=\frac{3}{7}$ and $\frac{10}{25}=\frac{2}{5}$

The pair of fractions given in option D are not equivalent

$\because \frac{3}{7}\ne \frac{2}{5}$

Hence, option D is correct.