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Example 6: Express 6 as an improper fraction.
3

2 632 20
×+
Solution: 6 = = .
3 3 3
Example 7: Convert 1537 cm to m and express the result as an improper fraction.
1  1  1537
Solution: Q 1 m = 100 cm ⇒ 1 cm = m So, 1537 cm =  × 1537 m = m

100  100  100
Practice Time 7B

1. Choose the correct option among the following:
(i) Identify the unit fraction:
2 1 1
(a) (b) (c) (d) Both (b) and (c)
7 5 9
(ii) Identify the proper fraction:

4 9 37
(a) (b) (c) 1 (d)
9 7 23
(iii) The length of the line segment shown alongside is ......... units.
0 1 2 3
1 3 8 3
(a) (b) (c) (d)
8 7 5 8
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(iv) The mixed fraction of is
15
6 15 15 3
(a) 3 (b) 3 (c) 6 (d) 6
15 6 3 15
2. Mark the following fractions on the number line.
2 3 1 1
(a) (b) (c) 3 (d) 5
5 8 4 3
3. Write any five like fractions with denominator 29, and the numerators between 11 and 41.
4. Express the following mixed fractions as improper fractions:

3 3 12 6
(a) 1 (b) 2 (c) 5 (d) 5
5 8 19 13
5. Express the following improper fractions as mixed fractions:

15 43 119 136
(a) (b) (c) (d)
8 7 13 9
6. Convert 2009 paise to rupees and express the result as a mixed fraction.

7. Varun went to his sister’s house, who lives in a society. In her society
there are 120 volunteers who involved in various community services.
If 72 volunteers are involved in monthly clean-up services and 75
volunteers are at local food bank, and some are involved in both
services. Express what fraction of volunteers are involved in
(a) Clean-up services (b) Local food bank
(c) In both services CompetenCy Based Question

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