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oPErAtionS on LiKE FrACtionS

Addition of Like Fractions

To add like fractions, add the numerators, and keep the same denominator.
3 4
Example 1. Ruchika read of a storybook in the morning and of
10 10

the storybook in the evening. How much of the storybook in
all did Ruchika read that day?

Solution.
3 4
The fractions and are like fractions.
10 10

3 4 3 + 4 7
+ = = 3 4
10 10 10 10 10 10

7 7
Thus, Ruchika read of the storybook that day. 10
10

Subtraction of Fractions (Like Fractions only)

To subtract like fractions, subtract the smaller numerator from the bigger one and
keep the same denominator.

10 8
Example 2. of the fruits in a basket are apples. of the fruits in the basket are
18 18

mangoes. Which fruit does the basket have more of and by how much?

10 8
Solution. and are like fractions.
18 18

10 8
On comparing both the fractions, > .
18 18

So, there are more apples in the basket.

10 8 10− 8 2 2 ÷ 2 1 Tips
Now, − = = = = .
18 18 18 18 18 ÷ 2 9
1 Reduce the answer to the
Hence, there are more apples in the basket by . simplest form, if required.
9

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Fractions