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5 6 1
example 2. Add , and .
18 18 18

6
Solution. 5 + 6 + 1 = 5 ++ 1 = 12 = 12÷ 6 = 2
18 18 18 18 18 18÷ 6 3
1
3
example 3. Anuradha read of a book and Ashima read of the book. What part
5 5
of the book was read by both of them together?

3
Solution. Part of the book read by Anuradha =
5
1
Part of the book read by Ashima =
5
Part of the book read by both of them together = 3 + 1 = 3 + 1 = 4
4 5 5 5 5
Thus, they together read of the book.
5

Subtraction of like Fractions

Have a look at the following:

– =

4 1 3
5 5 5
4 1 3
So, −=
5 5 5
We conclude that to subtract like fractions, we simply subtract their numerators.

Steps involved in subtraction of like fractions:

1. Subtract the numerators.
2. The denominator remains the same.

3. Reduce the fraction to its simplest form.

2 3
example 4. Subtract from .
7 7
3 2 3− 2 1
Solution. − = =
7 7 7 7
12 5
example 5. Find - .
15 15
12 5 12− 5 7
Solution. − = =
15 15 15 15

105
Fractions