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2. Which is greater out of the two given fractions in each pair?

4 1
3 8
3 2
(a) , (b) 9 , 7 (c) , (d) , (e) 8 , 8
5 5 13 13 9 2 4 4 11 13
3. Arrange the following in ascending order.
5 1 6 2
7 2 4 5
6 6 6 6
1 1 1 1
(a) , , , (b) , , , (c) , , , (d) , , ,
8 8 8 8 9 9 9 9 7 13 8 12 2 3 7 9
4. Arrange the following in descending order.
7 7 7 7
4 4
4 1 2 3
(a) , , , (b) , , , (c) 5 , 3 , 9 , 1 (d) , , 4 4
,
8 12 9 13 9 9 9 9 12 12 12 12 5 11 10 7
Addition And SubtrAction of Like frActionS
Addition of Like fractions

Look at the given diagram.
+ =
+
2 1 21 3
So, + = = 2 1 3
5 5 5 5 5 5 5
We observe that the resultant fraction has the sum of the numerators of the two
given fractions and the same denominator.

Thus, to add like fractions, we follow these steps.

Step 1: Add the numerators.

Step 2: Keep the common denominator the same.
Step 3: Reduce the fraction to its simplest form or convert it into a mixed fraction,

if required.

Example 1: Add the following.
(a) 3 and 2 (b) 3 + 2 + 1
7 7 4 4 4
Solution:
+
3 2 32 5 + =
(a) + = = 3 2 5
7 7 7 7 7 7 7

(b) 3 + 2 + 1 + +
4 4 4 3 2 1 Math Insight
++
32 1 4 4 4
= Sum of two or more
4 2 1 like fractions

6 2 1 = + = 1 4 = 1 2 = Sum of numerators
= = 1 = 1 1 2 Common denominator
4 4 2 4

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