Page 78 - ICSE Math 6

5 5×8 40
= = (40 ÷ 5 = 8)
4 4×8 32
2 2×20 40
= = (40 ÷ 2 = 20)
3 3×20 60
8 8×5 40
= = (40 ÷ 8 = 5)
9 9×5 45
 32 < 45 < 60 < 640 \ 5 > 8 > 2 > 1
4 9 3 16

Inserting a Fraction between Two Fractions
a c a c
Consider the fractions and such that < . We can insert a fraction between them as follows:
b d b d
a < a c+ < c
b b d+ d

2 6
Example 16: Insert a fraction between and .
5 5
2 6 2 6+ 8 4
Solution: As < , therefore the required fraction is = = .
5 5 5 5+ 10 5

EXERCISE 5.2

1. Represent the fractions given below on the same number line.
09 5 12 3 6
(a) , and (b) , ,2 and
9 9 9 6 6 6 6
2. Fill in the boxes with ‘>’, ‘<’ or ‘=’.

11 9 5 6 5 11
(a) (b) (c)
25 25 9 11 7 17
21 63 9 11 11 19
(d) (e) (f)
8 24 9 11 36 72
3. Which fraction is greater?
2 3 3 5 17 5 5 7
(a) or (b) or (c) or (d) or
3 2 4 9 18 6 7 9
4. Which fraction is smaller?
5 7 4 11 28 37 9 10
(a) or (b) or (c) or (d) or
8 10 15 50 15 20 11 13
5. Insert a fraction between the following fractions.
2 8 4 5 11 14
(a) and (b) and (c) and
3 3 5 7 13 15
6. Write the following fractions in ascending order.
5 37 1 5 9 9 11 7 11 7 9 13
(a) , , (b) , , (c) , , (d) , , ,
12 10 6 24 32 16 5 15 20 36 12 10 20

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