Page 181 - New Medley 5 Semester 1

Example 4: Find the sum.
2 4 4 3 5
(a) + (b) + +
7 7 16 16 16

2 4 2 + 4 6
Solution: (a) + = =
7 7 7 7

4 3 5 4 + 3 + 5 12 3
(b) + + = = or (in the lowest
16 16 16 16 16 4

term)

Example 5: Find the difference.

9 5 18 4
(a) - (b) -
14 14 35 35

9 5 9 − 5 4 2
Solution: (a) − = = =
14 14 14 14 7

18 4 18 − 4 14 2
(b) − = = =
35 35 35 35 5

Unlike Fractions

We have observed that it is convenient to add or subtract like fractions.

Therefore, to add or subtract unlike fractions, first convert them into like
fractions and then proceed as done earlier.

Example 6: Add the following.
7 1 3 7 8
(a) and (b) , ,and
12 4 8 12 15

7 1
Solution: (a) +
12 4

Here, the LCM of 12 and 4 is 12.

7 7 × 1 7 1 1 × 3 3
So, = = and = =
12 12 × 1 12 4 4 × 3 12

7 1 7 3 7 + 3 10 5
Thus, + = + = = =
12 4 12 12 12 12 6

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