Question

Convert the following groups of unlike fraction to like fractions:

$\frac{9}{11},\frac{17}{22},\frac{15}{33},\frac{35}{66}$

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, $11,22,33,66$

The LCM of $11,22,33,66$ is $66$

Converting each of the given fractions into equivalent fraction with denominator as $66$

Consider $\frac{9}{11}\times 66=54$

On multiplying both numerator and denominator by $54$, we have

$\frac{9\times 54}{11\times 54}=\frac{54}{66}$

Consider $\frac{17}{22}\times 66=51$

On multiplying both numerator and denominator by $51$, we have

$\frac{17\times 51}{22\times 51}=\frac{51}{66}$

Consider $\frac{15}{33}\times 66=30$

On multiplying both numerator and denominator by $30$, we have

$\frac{15\times 30}{33\times 30}=\frac{30}{66}$

Consider $\frac{35}{66}\times 66=35$

On multiplying both numerator and denominator by $35$, we have

$\frac{35\times 35}{66\times 35}=\frac{35}{66}$

Hence, the like fractions of $\frac{9}{11},\frac{17}{22},\frac{15}{33},\frac{35}{66}$ is $\frac{54}{66},\frac{51}{66},\frac{30}{66},\frac{35}{66}$.