Question

Convert the following groups of unlike fraction to like fractions:

$\frac{2}{9},\frac{3}{18},\frac{4}{6},\frac{8}{12},\frac{1}{3}$

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, $9,18,6,12,3$

The LCM of $9,18,6,12,3$ is $36$

Converting each of the given fractions into equivalent fraction with denominator as $36$

Consider $\frac{2}{9}\times 36=8$

On multiplying both numerator and denominator by $8$, we have

$\frac{2\times 8}{9\times 8}=\frac{8}{36}$

Consider $\frac{3}{18}\times 36=6$

On multiplying both numerator and denominator by $6$, we have

$\frac{3\times 6}{18\times 6}=\frac{6}{36}$

Consider $\frac{4}{6}\times 36=24$

On multiplying both numerator and denominator by $24$, we have

$\frac{4\times 24}{6\times 24}=\frac{24}{36}$

Consider $\frac{8}{12}\times 36=24$

On multiplying both numerator and denominator by $24$, we have

$\frac{8\times 24}{12\times 24}=\frac{24}{36}$

Consider $\frac{1}{3}\times 36=12$

On multiplying both numerator and denominator by $12$, we have

$\frac{1\times 12}{3\times 12}=\frac{12}{36}$

Hence, the like fractions of $\frac{2}{9},\frac{3}{18},\frac{4}{6},\frac{8}{12},\frac{1}{3}$ is $\frac{8}{36},\frac{6}{36},\frac{24}{36},\frac{24}{36},\frac{12}{36}$.