Page 71 - Maths Skill - 6

Fractions 69

Let’s Attempt

1
Example 1: Change 3 into an improper fraction.
3

1
1
Solution: 3 33 1 [Dividing and multiplying the whole number part by 3.]

3
3 3 3 3

1
9 91 10

3 3 3 3
Example 2: Change 28 into a mixed fraction.
6
Solution: Divide 28 by 6. 4
Remainder 4 6 28
Required mixed number = Quotient = 4 – 24
Divisor 6
4

Exercise 5.2

1. Identify the following fractions and name them as improper/proper/unit/mixed fractions.

7 1 1 7 5 11
(i) 11 (ii) 5 (iii) 2 3 (iv) 5 (v) 7 (vi) 13

1 31 1 5 22 1
(vii) 2 5 (viii) 41 (ix) 11 (x) 33 (xi) 23 (xii) 51
5

2. Change the following into improper fractions.
1 1 2 3 1 1
(i) 9 (ii) 6 (iii) 4 (iv) 7 (v) 3 (vi) 6 4
3
3
3
5
3
1 1 1 1 1 1
(vii) 3 (viii) 7 (ix) 5 (x) 9 (xi) 9 (xii) 11 5
3
5
3
4
2
3. Change the following into mixed fractions.
21 13 11 25 16 11
(i) 5 (ii) 3 (iii) 2 (iv) 8 (v) 7 (vi) 4
11 15 19 20 20 41
(vii) 5 (viii) 4 (ix) 5 (x) 7 (xi) 3 (xii) 8

EQUIVALENT FRACTIONS
Fractions which represent the same part of a whole or a collection are called equivalent fractions.

Let’s understand it with the help of a few illustrated examples.

Carefully observe the shaded portions of the circle. What did you observe?

8
(i) 1 (ii) 2 (iii) 4 (iv) 16 (v) 16
32
8
2 4