Question

Convert the following unlike fractions to like fractions: $\frac{2}{9},\frac{1}{6}$

• A. $\frac{4}{12},\frac{3}{12}$
• B. $\frac{4}{18},\frac{3}{18}$
• C. $\frac{6}{18},\frac{2}{18}$
• D. $\frac{3}{12},\frac{2}{12}$

Answer 1

The correct option is B

$\frac{4}{18},\frac{3}{18}$

To convert $\frac{2}{9},\frac{1}{6}$ to like fractions, we have to make the denominator same for both.

$\begin{array}{cc}2& 9,6\\ 3& 9,3\\ 3& 3,1\\ & 1,1\end{array}$
LCM of 9 and 6 $=2\times 3\times 3=18$

$\frac{2}{9}=\frac{2\times 2}{9\times 2}=\frac{4}{18}\frac{1}{6}=\frac{1\times 3}{6\times 3}=\frac{3}{18}$

$\therefore$ Like fractions are $\frac{4}{18},\frac{3}{18}$.