Question

Convert $\frac{1}{4},\frac{5}{8},\frac{7}{12}\text{and}\frac{13}{24}$into like fractions

Answer 1

Step 1: Finding the LCM of denominators -

The fractions with the same denominators are known as like fractions.

The fractions are $\frac{1}{4},\frac{5}{8},\frac{7}{12}\text{and}\frac{13}{24}$ -

Denominators are - $4,8,12,24$

$$\begin{gathered} 4=2\times 2 \\ 8=2\times 2\times 2 \\ 12=2\times 2\times 3 \\ 24=2\times 2\times 2\times 3 \end{gathered}$$

LCM $=2\times 2\times 2\times 3=24$

Step 2: Converts all denominators to $24$ -

$$\begin{gathered} \frac{1}{4}=\frac{1\times 6}{4\times 6}=\frac{6}{24} \\ \frac{5}{8}=\frac{5\times 3}{8\times 3}=\frac{15}{24} \\ \frac{7}{12}=\frac{7\times 2}{12\times 2}=\frac{14}{24} \\ \frac{13}{24} \end{gathered}$$

Hence, the like fraction of $\frac{1}{4},\frac{5}{8},\frac{7}{12}\text{and}\frac{13}{24}$ is $\frac{6}{24},\frac{15}{24},\frac{14}{24}\text{and}\frac{13}{24}$