# Concept of fraction

Fraction is a number in the form of a/b.
Here ‘a’ is called numerator, ‘b’ is called denominator.
For example: ½, ¾.
Types of fraction:
1. Proper fraction: In proper fraction numerator is less than denominator i.e.
numerator < denominator
For Example: 2/5, 5/8…
2. Improper fraction:In improper fraction numerator is greater than denominator i.e.
For Example: 5/2, 8/5…
3. Mixed fraction:It is a combination of whole number and proper fraction.
For example: 2½, 3½….
Comparison of fractions
1. Find the largest from the following:11/13, 9/11
Trick: do cross multiplication11×11 > 13×9
Clearly 11/13 is greater than 9/11.
2. When difference between numerator and denominator is same
1. If fraction is proper:In this case, the fraction having bigger numerator is greater.
For example: 15/18, 7/10, 11/14, 8/11
15/18 > 11/14 > 8/11 > 7/10
2. If fraction is improper:In this case, the fraction having smaller numerator is smaller.
For example: 11/8, 8/5, 31/28, 17/14
8/5 > 11/8 > 17/14 > 31/28