Question

Convert $\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{7}{9},\frac{1}{8},\frac{7}{12}$ into a set of like fractions.

Answer 1

We take LCM of these denominator.

Make all fraction with denominator for (360) for like fraction.

$$\begin{array}{c}\Rightarrow \frac{2}{3}=\frac{2\times 120}{3\times 120}=\frac{240}{360}\\ \Rightarrow \frac{3}{4}=\frac{3\times 90}{4\times 90}=\frac{270}{360}\\ \Rightarrow \frac{4}{5}=\frac{4\times 72}{5\times 72}=\frac{288}{360}\\ \Rightarrow \frac{7}{9}=\frac{7\times 40}{9\times 40}=\frac{280}{360}\\ \Rightarrow \frac{1}{8}=\frac{1\times 45}{8\times 45}=\frac{45}{360}\\ \Rightarrow \frac{7}{12}=\frac{7\times 30}{12\times 30}=\frac{210}{360}\end{array}$$

LCM $=2\times 2\times 3\times 5\times 3\times 2=360$