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3 4
Example 2: Add 2 + 1 .
5 5
Solution: Convert the mixed fractions into improper fractions first.

×+
3 25 3 13
2 = = and
5 5 5
×+
4 15 4 9 + =
1 = =
5 5 5
Now, add both fractions. 2 3 1 4

+
13 9 13 9 = 22 = 4 2 5 5 2
+=
5 5 5 5 5 4 5

subtraction of Like Fractions 4

5
Have a look at the given figure. =
4
1
So, – = 4 – 1 = 3 3
5
5
5
5
We observe that the resultant fraction has the 1 5
5
difference of the numerators of the given fractions and the same denominator.
Thus, to subtract like fractions, follow these steps:
Step 1: Subtract the numerators.

Step 2: Keep the denominator the same.

Step 3: Reduce the fraction to its simplest form.
9 3 9
Example 3: Subtract: (a) − 10
10 10
5 7
(b) 2 − 1
8 8
−
9 3 93 6 3
Solution: (a) − = = = 6 3
10 10 10 10 5 10 10

(b) First convert into improper fractions.
×+
×+
5 28 5 21 7 18 7 15
2 = = and 1 = =
8 8 8 8 8 8
−
21 15 21 15 6 3
Now subtract, − = = =
8 8 8 8 4

Math Insight
Difference of two like fractions = Difference of numerators
Common denominator

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