Question

Convert 1 , 5 and 11 into like fractions .
__ __ __
6 12 11

Answer 1

Answer :

We know " The different fractions with the same denominator are Like Fractions. "

To make $\frac{1}{6},\frac{5}{12}\mathrm{and}\frac{11}{11}$ like fraction we make same denominator for each fraction , First we find LCM of denominators ,

6 = 2 $\times$ 3

12 = 2 $\times$ 2 $\times$ 3

11 = 1 $\times$ 11

So,

LCM ( 6 , 12 , 11 ) = 2 $\times$ 2 $\times$ 3 $\times$11 = 132

So,

$$\begin{gathered} \frac{1}{6}=\frac{1}{6}\times \frac{22}{22}=\frac{22}{132}, \\ \frac{5}{12}=\frac{5}{12}\times \frac{11}{11}=\frac{55}{132} \\ \mathrm{And} \\ \frac{11}{11}=\frac{11}{11}\times \frac{12}{12}=\frac{132}{132} \\ \mathrm{So}, \\ \mathbf{We}\mathbf{}\mathbf{get}\mathbf{}\mathbf{like}\mathbf{}\mathbf{freactions}\mathbf{}\mathbf{:}\mathbf{}\frac{\mathbf{22}}{\mathbf{132}}\mathbf{}\mathbf{,}\mathbf{}\frac{\mathbf{55}}{\mathbf{132}}\mathbf{}\mathbf{and}\mathbf{}\mathbf{}\mathbf{}\frac{\mathbf{132}}{\mathbf{132}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathbf{Ans}\mathbf{}\mathbf{)} \end{gathered}$$