Question

Mark the correct alternative in each of the following:

If $\frac{27}{-45}$ is expressed as a rational number with denominator 5, then the numerator is

(a) 3 (b) −3 (c) 6 (d) −6

Answer 1

In order to express $\frac{27}{-45}$ as a rational number with denominator 5, firstly find a number which gives 5 when −45 is divided by it.

This number is −45 ÷ 5 = −9.

Dividing the numerator and denominator of $\frac{27}{-45}$ by −9, we have

$\frac{27}{-45}=\frac{27÷\left(-9\right)}{-45÷\left(-9\right)}=\frac{-3}{5}$

Thus, the numerator is −3.

Hence, the correct answer is option (b).