Question

Reduce $\frac{100}{120}$ to lowest terms.

Answer 1

Step 1. First lets find out the HCF of $100$ and $120$

HCF of$100$ and$120$ is $20$ $$\begin{gathered} 100=2x2x5x5 \\ 120=2x2x2x3x5 \\ HCF=2x2x5=4x5=20 \end{gathered}$$

To reduce $\frac{100}{120}$ we have to divide its numerator and denominator by their HCF .So we have

$\frac{100}{120}=\frac{100÷20}{120÷20}=\frac{5}{6}$

Hence $\frac{5}{6}$ is the reduce form of $\frac{100}{120}$