Question

Convert the following groups of unlike fraction to like fractions:

$\frac{2}{7},\frac{9}{14},\frac{4}{21},\frac{13}{42}$

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, $7,14,21,42$

The LCM of $7,14,21,42$ is $42$

Converting each of the given fractions into equivalent fraction with denominator as $42$

Consider $\frac{2}{7}\times 42=12$

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

$\frac{2\times 12}{7\times 12}=\frac{12}{42}$

Consider $\frac{9}{14}\times 42=27$

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

$\frac{9\times 27}{14\times 27}=\frac{27}{42}$

Consider $\frac{4}{21}\times 42=8$

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

$\frac{4\times 8}{21\times 8}=\frac{8}{42}$

Consider $\frac{13}{42}\times 42=13$

On multiplying both numerator and denominator by $13$, we have

$\frac{13\times 13}{42\times 13}=\frac{13}{42}$

Hence, the like fractions of $\frac{2}{7},\frac{9}{14},\frac{4}{21},\frac{13}{42}$ is $\frac{12}{42},\frac{27}{42},\frac{8}{42},\frac{13}{42}$.