Question

Convert the following unlike fractions into like fractions.

$\frac{1}{2},\frac{3}{7},\frac{7}{9}$

Answer 1

$$\begin{gathered} \frac{1}{2},\frac{3}{7}and\frac{7}{9} \\ LCMof2,7,9=126 \\ \frac{1}{2}=\frac{1\times 63}{2\times 63}=\frac{63}{126}, \\ \frac{3}{7}=\frac{3\times 18}{7\times 18}=\frac{54}{126}, \\ \frac{7}{9}=\frac{7\times 14}{9\times 14}=\frac{98}{126} \\ \mathrm{Hence},\frac{63}{126},\frac{54}{126},\frac{98}{126}\mathrm{are}\mathrm{like}\mathrm{fractions}\mathrm{whose}\mathrm{denominator}\mathrm{is}\mathrm{same}. \end{gathered}$$