Question

Express $\frac{84}{-147}$ as a rational number with denominator

(i) 7
(ii) −49

Answer 1

(i) Denominator of $\frac{84}{-147}$ is −147.
​∴ −147 ÷(−21)=7
Dividing both the numerator and the denominator by -21:

$\begin{array}{l}\frac{84÷(-21)}{-147÷(-21)}=\frac{-4}{7}\\ \\ \frac{84}{-147}=\frac{-4}{7}\end{array}$

(ii)Denominator of $\frac{84}{-147}$ is −147.
−147÷3=−49
Dividing both the numerator and the denominator by 3:

$\begin{array}{l}\frac{84÷3}{-147÷3}=\frac{28}{-49}\\ \end{array}$

$\frac{84}{-147}=\frac{28}{-49}$