Question

Give two ratio equivalent to

$3:2$

Answer 1

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Let us understand the two ways in which we can make equivalent fractions:

1. Multiply the numerator and the denominator by the same number, or,
2. Divide the numerator and the denominator by the same number.

First ratio equivalent to $3:2$ $=\frac{3\times 3}{2\times 3}\Rightarrow \frac{9}{6}\Rightarrow 9:6$

Similarly,

Second ratio equivalent to $3:2$$=\frac{3\times 4}{2\times 4}\Rightarrow \frac{12}{8}\Rightarrow 12:8$

Hence, two ratio equivalent to $3:2$ are$9:6\mathrm{and}12:8$