We will learn how to solve addition of unlike fractions.

In order to add unlike fractions, first we convert them as like fractions with same denominator in each fraction with the help of method explained earlier and then we add the fractions.

Let us consider some of the examples of adding unlike fractions:

Solution:

The L.C.M. of the denominators 8 and 10 is 40.

7/8 = (7 × 5)/(8 × 5) = 35/40 , (because 40 ÷ 8 = 5)

9/10 = (9 × 4)/(10 × 4) = 36/40, (because 40 ÷ 10 = 4)

Thus, 7/8 + 9/10

= 35/40 + 36/40

= (35 + 36)/40

= 71/40

= 1 31/40

Solution:

Let L.C.M. of the denominators 6 and 12 is 12.

1/6 = (1 × 2)/(6 × 2) = 2/12, (because 12 ÷ 6 = 2)

5/12 = (5 × 1)/(12 × 1) = 5/12, (because 12 ÷ 12 = 1)

Thus, 1/6 + 5/12

= 2/12 + 5/12

= (2 + 5)/12

= 7/12

3. Add 2/3, 1/15 and 5/6

Solution:

The L.C.M. of the denominators 3, 15 and 6 is 30.

2/3 = (2 × 10)/(3 × 10) = 20/30, (because 30 ÷ 3 = 10)

1/15 = (1 × 2)/(15 × 2) = 2/30, (because 30 ÷ 15 = 2)

5/6  = (5 × 5)/(6 × 5) = 22/30, (because 30 ÷ 6 = 5)

Thus, 2/3 + 1/15 + 5/6

= 20/30 + 2/30 + 25/30

= (20 + 2 + 25)/30

= 47/30

= 1 17/30

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