Page 72 - Revised Maths Wisdom Class - 6

70 MATHS

Example 3: Express the following mixed fractions as improper fractions:
1 2 4 3
(a) 2 (b) 7 (c) 11 (d) 220
3 5 13 7
1 1 ( 32× ) + 1 61+ 7 2 2 ( 75× ) + 2 35 2+ 37
Solution: (a) 2 =+ = = = (b) 7 =+ = = =
2
7
3 3 3 3 3 5 5 5 5 5
4 4 ( 13 11× ) + 4 143 4+ 147
(c) 11 = 11+ = = =
13 13 13 13 13
3 3 ( 220 7× ) + 3 1540 3+ 1543
(d) 220 = 220 + = = =
7 7 7 7 7
Example 4: Convert the following improper fractions into mixed fractions:

17 183 1009 893
(a) (b) (c) (d)
5 11 19 7

Solution: (a) On dividing 17 by 5 (b) On dividing 183 by 11

Quotient = 3, Remainder = 2 Quotient = 16, Remainder = 7
183 7 16
17 = 3 2 3 → Quotient 11 = 16 11 11 183
5 5 5 17 11
15 73

2 → Remainder 66
7

(c) On dividing 1009 by 19 (d) On dividing 893 by 7
Quotient = 53, Remainder = 2 Quotient = 127, Remainder = 4
1009 = 53 2 53 893 = 127 4 . 127
19 19 19 1009 7 7 7 893
95↓ 7↓
59 19
57 14
2 53
49
4

Exercise 5B
Exercise 5B
1. Represent the following fractions on number line.
3 4 13 3 1
(a) (b) (c) (d) 2 (e) 4
7 9 11 7 3
2. Which of the following are proper fractions?

1 5 9 18 11 5
(a) (b) (c) (d) (e) (f)
2 9 17 7 12 3
3. Classify the following as mixed or improper fraction:
6 1 1 11 1 19 81
(a) (b) 3 (c) 18 (d) (e) 1 (f) (g)
6 4 7 5 2 3 7