Question

Convert the following unlike fractions to like fractions: $\frac{5}{12},\frac{6}{11},\frac{5}{6}$

• A. $\frac{55}{112},\frac{82}{112},\frac{110}{112}$
• B. $\frac{50}{112},\frac{72}{112},\frac{90}{112}$
• C. $\frac{55}{132},\frac{82}{132},\frac{90}{132}$
• D. $\frac{55}{132},\frac{72}{132},\frac{110}{132}$

Answer 1

The correct option is D

$\frac{55}{132},\frac{72}{132},\frac{110}{132}$

$\frac{5}{12},\frac{6}{11},\frac{5}{6}$

$\begin{array}{cc}2& 12,11,6\\ 3& 6,11,3\\ & 2,11,1\end{array}$
LCM of 12, 11 and 6 $=3\times 2\times 2\times 11=132$

$\frac{5}{12}=\frac{5\times 11}{12\times 11}=\frac{55}{132}\frac{6}{11}=\frac{6\times 12}{11\times 12}=\frac{72}{132}\frac{5}{6}=\frac{5\times 22}{6\times 22}=\frac{110}{132}$

$\therefore$ Like fractions are $\frac{55}{132},\frac{72}{132},\frac{110}{132}$