Question

Convert the following groups of unlike fraction to like fractions:

$\frac{3}{4},\frac{7}{8},\frac{9}{16},\frac{21}{32}$

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, $4,8,16,32$

The LCM of $4,8,16,32$ is $32$

Converting each of the given fractions into equivalent fraction with denominator as $32$

Consider $\frac{3}{4}\times 32=24$

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

$\frac{3\times 24}{4\times 24}=\frac{24}{32}$

Consider $\frac{7}{8}\times 32=28$

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

$\frac{7\times 28}{8\times 28}=\frac{28}{32}$

Consider $\frac{9}{16}\times 32=18$

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

$\frac{9\times 18}{16\times 18}=\frac{18}{32}$

Consider $\frac{21}{32}\times 32=21$

On multiplying both numerator and denominator by $21$, we have

$\frac{21\times 21}{32\times 21}=\frac{21}{32}$

Hence, the like fractions of $\frac{3}{4},\frac{7}{8},\frac{9}{16},\frac{21}{32}$ is $\frac{24}{32},\frac{28}{32},\frac{18}{32},\frac{21}{32}$.