Page 67 - Math Skill - 5

Fractions 65

Converting each of the given fractions into an equivalent fraction with

denominator 24, we get:
×
×
5 52 10 7 73 21 2 28× 16 1 16× 6
= = ; = = ; = = , = =
12 12 2× 24 8 83× 24 3 38× 24 4 46× 24
6 10 16 21
Clearly, < < <
24 24 24 24

1 5 2 7
Thus, < < <
4 12 3 8
1
Hence, the given fractions in ascending order are: , 5 , 2 7
,
4 12 3 8
Example 4: Arrange the following fractions in descending order.

3 8 4 1
, , ,
5 10 15 2

Solution: We will convert the given fractions into equivalent fractions with a common
denominator. The common denominator is the LCM of 2, 5, 10, 15.
5 2, 5, 10, 15
2 2, 1, 2, 3
3 1, 1, 1, 3

1, 1, 1, 1
Therefore, LCM of 2, 5, 10, 15 = 2 × 3 × 5 = 30

Converting each of the given fractions into equivalent fraction with denominator
30, we get:
3 36 18 8 83 24 4 42 8 1 115 15
×
×
×
×
= = , = = ; = = , = =
×
×
×
×
5 56 30 10 10 3 30 15 15 2 30 2 215 30
Clearly, 24 > 18 > 1 5 > 8
30 30 30 30
Thus, 8 > 3 > 1 > 4
10 5 2 15
Hence, the given fractions in descending order are: 8 , 3 1 , 4
,
10 5 2 15

Exercise 5.4

1. Fill in the circle with >, < or =.

3 7 1 4 4 6 11 12
(a) (b) (c) (d)
10 15 2 5 6 9 6 5