Question

Convert the fractions $\frac{1}{2},\frac{2}{3},\frac{4}{9}$ and $\frac{5}{6}$ into like fractions.

Answer 1

$\mathrm{The}\mathrm{given}\mathrm{fractions}\mathrm{are}\frac{1}{2},\frac{2}{3},\frac{4}{9},\frac{5}{6}.$
L.C.M. of 2, 3, 9 and 6 = (2 ⨯ 3 ​⨯ 3) = 18
Now, we have:
$$\begin{gathered} \frac{1}{2}=\frac{1\times 9}{2\times 9}=\frac{9}{18} \\ \frac{2}{3}=\frac{2\times 6}{3\times 6}=\frac{12}{18} \\ \frac{4}{9}=\frac{4\times 2}{9\times 2}=\frac{8}{18} \\ \frac{5}{6}=\frac{5\times 3}{6\times 3}=\frac{15}{18} \\ \mathrm{Hence},\frac{9}{18},\frac{12}{18},\frac{8}{18}\mathrm{and}\frac{15}{18}\mathrm{are}\mathrm{like}\mathrm{fractions}. \end{gathered}$$