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:
- Proper fraction: In proper fraction numerator is less than denominator i.e.
numerator < denominator
For Example: 2/5, 5/8…
- Improper fraction:In improper fraction numerator is greater than denominator i.e.
For Example: 5/2, 8/5…
- Mixed fraction:It is a combination of whole number and proper fraction.
For example: 2½, 3½….
Comparison of fractions
- 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.
- When difference between numerator and denominator is same
- 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
- 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
Addition of mixed fraction
Example: 6 2/3 + 3 1/3 + 5 1/6
= (6 + 3 +5) + (2/3 + 1/3 + 1/6) = 15 1/6
Exercise:
- Find the value of 6 2/3 – 5 1/6 – 4 2/3
- Find the value of 999 1/7 + 999 2/7 + 999 3/7 + 999 4/7 + 999 5/7 + 999 6/7.