Comparing Fractions
##### Get a free home demo of LearnNext

Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back

clear
Comparing like fractions Fractions with the same denominator are called like fractions. In like fractions, the fraction with the greater numerator is greater. e.g. In fractions $\frac{\text{5}}{\text{7}}$ and $\frac{\text{3}}{\text{7}}$. $\frac{\text{5}}{\text{7}}$ > $\frac{\text{3}}{\text{7}}$ as 5 is greater than 3. Three or more like fractions can be arranged in ascending or descending order by arranging their numerators in ascending or descending order respectively. Comparing unlike fractions Fractions with different denominators are called unlike fractions. If two fractions with the same numerator but different denominators are to be compared, then the fraction with the smaller denominator is greater of the two. To compare unlike fractions, we first convert them into like fractions.  e.g. Compare the fractions $\frac{\text{6}}{\text{8}}$ and $\frac{\text{4}}{\text{6}}$. least common multiple (LCM) of 6 and 8 = 24  $\frac{\text{(6 x 3)}}{\text{(8 x 3)}}$ = $\frac{\text{18}}{\text{24}}$  $\frac{\text{(4 x 4)}}{\text{(6 x 4)}}$ = $\frac{\text{16}}{\text{24}}$ $\frac{\text{18}}{\text{24}}$ > $\frac{\text{16}}{\text{24}}$ â‡’ $\frac{\text{6}}{\text{8}}$ > $\frac{\text{4}}{\text{6}}$ Hence, we can say that $\frac{\text{6}}{\text{8}}$ is greater than $\frac{\text{4}}{\text{6}}$.

#### Summary

Comparing like fractions Fractions with the same denominator are called like fractions. In like fractions, the fraction with the greater numerator is greater. e.g. In fractions $\frac{\text{5}}{\text{7}}$ and $\frac{\text{3}}{\text{7}}$. $\frac{\text{5}}{\text{7}}$ > $\frac{\text{3}}{\text{7}}$ as 5 is greater than 3. Three or more like fractions can be arranged in ascending or descending order by arranging their numerators in ascending or descending order respectively. Comparing unlike fractions Fractions with different denominators are called unlike fractions. If two fractions with the same numerator but different denominators are to be compared, then the fraction with the smaller denominator is greater of the two. To compare unlike fractions, we first convert them into like fractions.  e.g. Compare the fractions $\frac{\text{6}}{\text{8}}$ and $\frac{\text{4}}{\text{6}}$. least common multiple (LCM) of 6 and 8 = 24  $\frac{\text{(6 x 3)}}{\text{(8 x 3)}}$ = $\frac{\text{18}}{\text{24}}$  $\frac{\text{(4 x 4)}}{\text{(6 x 4)}}$ = $\frac{\text{16}}{\text{24}}$ $\frac{\text{18}}{\text{24}}$ > $\frac{\text{16}}{\text{24}}$ â‡’ $\frac{\text{6}}{\text{8}}$ > $\frac{\text{4}}{\text{6}}$ Hence, we can say that $\frac{\text{6}}{\text{8}}$ is greater than $\frac{\text{4}}{\text{6}}$.

#### References

###### Like NextGurukul? Also explore our advanced self-learning solution LearnNext
Offered for classes 6-12, LearnNext is a popular self-learning solution for students who strive for excellence
Explore
Animated Video
lessons
All India
Test Series
Interactive Video
Experiments
Best-in class
books