Addition Of Like And Unlike Fractions

 

Since denominators of the like fractions are same, add the numerators and retain the denominator the same.

Demonstration:

Add the following fractions.

 1/6 + 4/6

Solution:

We have,
1/6 + 4/=  (1+4)/=  5/6

In addition and subtraction of unlike fractions, first convert them into corresponding equivalent like fractions and then add or subtract. 

Demonstration:

Find the difference of 17/24 and 15/16.

Solution:
The LCM of the denominators 24 and 16 is 48.


[Therefore, LCM = 2 × 2 × 2 × 2 × 3 = 48]

So, we convert the given fractions into equivalent fractions with denominator 48.
We have,

17/24 = (17 × 2)/(24 × 2) = 34/48 [since 48 ÷ 24 = 2]

and, 15/16 = (15 × 3)/(16 × 3) = 45/48 [since 48 ÷ 16 = 3]

45/48 > 34/48

Therefore, 15/16 > 17/24

Hence, difference = 15/16 – 17/24

45/48 – 34/48

(45 – 34)/48

11/48.