Page 75 - Maths Skill - 6

Fractions 73

77 72 7 6
Therefore, 132 > 132 or 12 > 11 Alternative Approach
7 6
6 12 11
Fraction 11 is a smaller fraction. 7 × 11 = 77 and 6 × 12 = 72

Here, 77 > 72
7 1 5 11
Example 2: Arrange , , , in ascending order. 7 6
12 12 12 12 So, >
7 1 5 11 12 11
,
,
Solution: The given fractions 12 12 12 and 12 are like fractions.
So, comparing the numerators, we get 1 < 5 < 7 < 11.
1 5 7 11
Therefore, , , , is the required ascending order.
12 12 12 12

2 1 1 5
Example 3: Arrange these fractions in descending order: , , and .
6
5 2 3
2 1 1 5
Solution: The given fractions , , and are unlike fractions.
5 2 3 6
Therefore, first we must convert them into like fractions.
L.C.M. of 5, 2, 3, 6 = 30.
Now making the denominators of all fractions 30:

2 2 × 6 12 1 1 × 15 15 1 1 × 10 10 5 5 × 5 25
, =
, =
, =
5 = 5 × 6 = 30 2 2 × 15 = 30 3 3 × 10 = 30 6 6 × 5 = 30
Now, comparing the numerators of the above-formed like fractions, we get 25 > 15 > 12 > 10.
25 15 12 10
Hence, 30 > 30 > 30 > 30

5 1 2 1
Thus, , , , is the required descending order.
6 2 5 3

Exercise 5.4

1. Put >, <, = in the blank boxes.

2 15 3 4 1 2 1 11
(i) 13 13 (ii) 7 (iii) 5 (iv) 17 11
7
9
19 21 17 13 14 26 11 23
(v) (vi) (vii) (viii)
25 27 19 15 39 43 18 42

2. Arrange the following like fractions in an ascending order.
7 5 2 6 1 12 11 16 9 8
(i) , , , , (ii) , , , ,
15 15 15 15 15 25 25 25 25 25
17 15 31 10 39 13 1 2 7 6
(iii) , , , , (iv) , , , ,
72 72 72 72 72 17 17 17 17 17