Question

Find three rational numbers equivalent to:
$ii.\frac{4}{-7}$

Answer 1

Given, rational number is $\frac{4}{-7}$
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.
$\frac{4}{-7}=\frac{4\times 2}{-7\times 2}=\frac{8}{-14}$
$\frac{4}{-7}=\frac{4\times 3}{-7\times 3}=\frac{12}{-21}$
$\frac{4}{-7}=\frac{4\times 4}{-7\times 4}=\frac{16}{-28}$

Hence $\frac{8}{-14},\frac{12}{-21}\text{and}\frac{16}{-28}$ are rational numbers equivalent to the given rational number $\frac{4}{-7}$.