Question

Convert the following groups of unlike fraction to like fractions:

$\frac{2}{9},\frac{3}{8},\frac{4}{6},\frac{1}{4}$

Answer 1

To convert groups of unlike fraction to like fractions, we have convert all the denominator same for all.

Consider the denominator i.e, $9,8,6,4$

The LCM of $9,8,6,4$ is $72$

Converting each of the given fractions into equivalent fraction with denominator as $72$

Consider $\frac{2}{9}\times 72=16$

On multiplying both numerator and denominator by $16$, we have

$\frac{2\times 16}{9\times 16}=\frac{16}{72}$

Consider $\frac{3}{8}\times 72=27$

On multiplying both numerator and denominator by $27$, we have

$\frac{3\times 27}{8\times 27}=\frac{27}{72}$

Consider $\frac{4}{6}\times 72=48$

On multiplying both numerator and denominator by $48$, we have

$\frac{4\times 48}{6\times 48}=\frac{48}{72}$

Consider $\frac{1}{4}\times 72=18$

On multiplying both numerator and denominator by $18$, we have

$\frac{1\times 18}{4\times 18}=\frac{18}{72}$

Hence, the like fractions of $\frac{2}{9},\frac{3}{8},\frac{4}{6},\frac{1}{4}$ is $\frac{16}{72},\frac{27}{72},\frac{48}{72},\frac{18}{72}$.