Question

Find three rational numbers equivalent to:
$i$. $\frac{3}{5}$

Answer 1

Given, rational number is $\frac{3}{5}$
We know that,
On multiplying the numerator and denominator of a fraction with the same integer, the fraction value does not change.
$\therefore$ Required equivalent rational numbers.
$\frac{3}{5}=\frac{3\times 2}{5\times 2}=\frac{6}{10}$
$\frac{3}{5}=\frac{3\times 3}{5\times 3}=\frac{9}{15}$
$\frac{3}{5}=\frac{3\times 4}{5\times 4}=\frac{12}{20}$

Hence $\frac{6}{10},\frac{9}{15}\text{and}\frac{12}{20}$ are rational numbers equivalent to the given rational number$\frac{3}{5}$.