Question

Find three rational numbers equivalent to
$iv.\frac{8}{-15}$

Answer 1

Given, rational number is $\frac{8}{-15}$.
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.
$\frac{8}{-15}=\frac{8\times 2}{-15\times 2}=\frac{16}{-30}$
$\frac{8}{-15}=\frac{8\times 3}{-15\times 3}=\frac{24}{-45}$
$\frac{8}{-15}=\frac{8\times 4}{-15\times 4}=\frac{32}{-60}$

Hence $\frac{16}{-30},\frac{24}{-45}\text{and}\frac{32}{-60}$ are rational numbers equivalent to the given rational number $\frac{8}{-15}$.