Question

Convert the following unlike fractions to like fractions: $\frac{1}{2},\frac{3}{4},\frac{5}{6}$

• A. $\frac{3}{18},\frac{9}{18},\frac{12}{18}$
• B. $\frac{6}{12},\frac{9}{12},\frac{10}{12}$
• C. $\frac{4}{12},\frac{9}{12},\frac{10}{12}$
• D. $\frac{4}{18},\frac{12}{18},\frac{15}{18}$

Answer 1

The correct option is B

$\frac{6}{12},\frac{9}{12},\frac{10}{12}$

$\frac{1}{2},\frac{3}{4},\frac{5}{6}$

$\begin{array}{cc}2& 2,4,6\\ 2& 1,2,3\\ 3& 1,1,3\\ & 1,1,1\end{array}$
LCM of 2, 4, 6 $=2\times 2\times 3=12$

$\frac{1}{2}=\frac{1\times 6}{2\times 6}=\frac{6}{12}\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12}\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}$

$\therefore$ The like fractions are $\frac{6}{12},\frac{9}{12},\frac{10}{12}$.