Question

Which of the following fractions is equivalent to $\frac{3}{7}$?

• A. $\frac{3}{10}$
• B. $\frac{9}{21}$
• C. $\frac{5}{14}$
• D. $\frac{7}{3}$

Answer 1

The correct option is B $\frac{9}{21}$

Equivalent fractions represent the same quantity of a whole when the whole is divided into a different number of equal parts.

To find the equivalent fraction, we multiply or divide the numerator and denominator of $\frac{3}{7}$ with the same number.

Multiplying them by 3, we get
$\frac{3\times 3}{7\times 3}=\frac{9}{21}$

Let’s see them visually in the image given below.


Hence,
$\frac{9}{21}$ is an equivalent fraction of $\frac{3}{7}$.