Question

Convert the following groups of unlike fraction to like fractions:

$\frac{2}{5},\frac{3}{10},\frac{7}{15},\frac{11}{20},\frac{3}{4}$

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, $5,10,15,20,4$

The LCM of $5,10,15,20,4$ is $60$

Converting each of the given fractions into equivalent fraction with denominator as $60$

Consider $\frac{2}{5}\times 60=24$

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

$\frac{2\times 24}{5\times 24}=\frac{24}{60}$

Consider $\frac{3}{10}\times 60=18$

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

$\frac{3\times 18}{10\times 18}=\frac{18}{60}$

Consider $\frac{7}{15}\times 60=28$

On multiplying both numerator and denominator by $28$, we have

$\frac{7\times 28}{15\times 28}=\frac{28}{60}$

Consider $\frac{11}{20}\times 60=33$

On multiplying both numerator and denominator by $33$, we have

$\frac{11\times 33}{20\times 33}=\frac{33}{60}$

Consider $\frac{3}{4}\times 60=45$

On multiplying both numerator and denominator by $45$, we have

$\frac{3\times 45}{4\times 45}=\frac{45}{60}$

Hence, the like fractions of $\frac{2}{5},\frac{3}{10},\frac{7}{15},\frac{11}{20},\frac{3}{4}$ is $\frac{24}{60},\frac{18}{60},\frac{28}{60},\frac{33}{60},\frac{45}{60}$.