Question

Which of the following are equivalent to
$3:2$?

• A. $8:4$
• B. $9:16$
• C. $12:8$
• D. $8:12$

Answer 1

The correct option is C

$12:8$

A ratio obtained by multiplying or dividing the numerator and the denominator of a given ratio by the same number is called an equivalent ratio.

Hence, when the numerator and the denominator of the given ratio $3:2$ are multiplied by $4$, we get

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

$\therefore$ $3:2$ and $12:8$ are equivalent ratios.