Page 145 - Start Up Mathematics_6

1
7. Deepak’s monthly salary is ` 12,000. He spends of his salary on food and house rent and
2
1 of his remaining salary on other household expenses. How much money does he spend
3
on household items?

Addition and Subtraction of Fractions

Case 1: Addition and subtraction of like fractions

To add or subtract like fractions, we just need to add or subtract their numerators without changing
2 3 2 + 3 5 6 2 6 – 2 4
the denominators. For example, + = = and – = =
7 7 7 7 11 11 11 7

MATHS LAB ACTIVITY

Addition of Like Fractions

1 2
Let’s assume that we have to add and .
4 4
1
Step 1: Consider a circular cardboard disc or paper plate as 1 whole. Now cut th of the disc
or plate and keep it aside. 4

(i) (ii) (iii)

2
Step 2: Again cut th of the whole disc or plate from the remaining sector.
4

(iv) (v)

1 2
Step 3: Clearly, th of the plate along with th of the plate combines to
4 4
3
form th of the plate.
4
1 2 3
Step 4: Hence, + = .
4 4 4

Similarly, we may subtract two like fractions.

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