Question

Express $\frac{-12}{13}$ as a rational number with numerator
(i) −48
(ii) 60

Answer 1

(i) Numerator of $\frac{-12}{13}$ is −12.
−12 should be multiplied by 4 to get 48.
Multiplying both the numerator and the denominator by 4:

$\begin{array}{l}\frac{-12\times 4}{13\times 4}=\frac{-48}{52}\\ \\ \frac{-12}{13}=\frac{-48}{52}\end{array}$

(ii) Numerator of $\frac{-12}{13}$ is −12.​
−12 should be multiplied by −5 to get 60

Multiplying its numerator and denominator by -5:

$\begin{array}{l}\frac{-12\times (-5)}{13\times (-5)}=\frac{60}{-65}\\ \\ \frac{-12}{13}=\frac{60}{-65}\end{array}$