Page 83 - ICSE Math 5

2 1 3
Example 12: Arrange , and in ascending order.
4 4 4
Solution: Since the denominator of the given fractions is the same, compare the numerators
and arrange in ascending order.
1 2 3
Since 1 < 2 < 3, so < < .
4 4 4
5 4 3
Example 13: Arrange , and in ascending order.
9 7 11

Solution: Step 1: Find the L.C.M. of 9, 7 and 11.
L.C.M. of 9, 7 and 11 = 3 × 3 × 7 × 11 = 693

Step 2: Convert the given fractions to like fractions.
5 5 × 77 385
Since 693  9 = 77, so = = .
9 9 × 77 693
4 4 × 99 396
Since 693  7 = 99, so = = .
7 7 × 99 693
3 3 × 63 189
Since 693  11 = 63, so = = .
11 11 × 63 693

Step 3: Since the denominator of the given fractions is the same, compare the
numerators.
189 < 385 < 396

Step 4: Arrange the fractions in ascending order.

4
5
189 < 385 < 396  3 < < .
693 693 693 11 9 7

Exercise 6.1

1. Classify the following fractions as proper, improper and mixed fractions.
2 21 6
8 6 , 5 , , , 6 , , , 1 , , 11 1
1 9 14
2 7
,
5 17 5 11 3 9 4 8 3 10 3
2. Write three equivalent fractions for each of the following fractions by multiplying.
4 13 7 19
(a) (b) (c) (d)
11 18 16 80
3. Write three equivalent fractions for each of the following fractions by dividing.
54 40 32 15
(a) (b) (c) (d)
135 80 40 60
4. Fill in the missing numbers to make equivalent fractions.

2 11 22 5 30 1
(a) = (b) = (c) = (d) =
7 21 15 42 64 4

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