Question

Express $\frac{-8}{11}$ as a rational number with denominator

(i) 22
(ii) −55

Answer 1

(i) Denominator of$\frac{-8}{11}$ is 11.
​Clearly, 11×2= ​22
Multiplying both the numerator and the denominator by 2:

$\begin{array}{l}\frac{-8\times 2}{11\times 2}=\frac{-16}{22}\\ \\ \frac{-8}{11}=\frac{-16}{22}\end{array}$

(ii) Denominator of$\frac{-8}{11}$ is 11.
Clearly, 11×5=55
Multiplying both the numerator and the denominator by 5:

$\begin{array}{l}\frac{-8\times 5}{11\times 5}=\frac{-40}{55}\\ \\ \frac{-8}{11}=\frac{-40}{55}\end{array}$