Question

Express $\frac{-3}{5}$ as a rational number with denominator
(i) 20
(ii) −30
(iii) 35
(iv) −40

Answer 1

If $\frac{a}{b}$ is a fraction and $m$ is a non-zero integer, then $\frac{a}{b}=\frac{a\times m}{b\times m}$.

Now,

(i) $\frac{-3}{5}=\frac{-3\times 4}{5\times 4}=\frac{-12}{20}$

(ii) $\frac{-3}{5}=\frac{-3\times -6}{5\times -6}=\frac{18}{-30}$

(iii)$\frac{-3}{5}=\frac{-3\times 7}{5\times 7}=\frac{-21}{35}$

(iv)$\frac{-3}{5}=\frac{-3\times -8}{5\times -8}=\frac{24}{-40}$