Question

Express $\frac{14}{-5}$ as a rational number with numerator

(i) 56
(ii) −70

Answer 1

(i) Numerator of $\frac{14}{-5}$ is 14.
Clearly, 14×4=56

Multiplying both the numerator and the denominator by 4:
$\frac{14\times 4}{-5\times 4}$=$\frac{56}{-20}$


$\frac{14}{-5}$=$\frac{56}{-20}$

(ii) −70
​Numerator of $\frac{14}{-5}$ is 14.​
Clearly, 14×(−5)=−70
Multiplying both the numerator and the denominator by -5:

$\frac{14\times (-5)}{(-5)\times (-5)}$=$\frac{-70}{25}$

$\frac{14}{-5}$=​$\frac{-70}{25}$