Page 77 - Math Skill - 4

Fractions 75

Let’s Attempt

3 5
Example 1: Which is smaller: or ?
7
7
Solution: Here, the denominators are same, so we compare numerators.
The fraction with greater numerator is greater.

Since, 3 < 5
3 5
Therefore, <
7 7
3
3
Example 2: Which is smaller or ?
5 7
Solution: Here, the numerators are same, so we compare denominators.
The fraction with smaller denominator is greater.
Since, 5 < 7

Therefore, 3 < 3
7 5

Example 3: Which is greater 6 or 6 ?
7 11
Solution: Here, the numerators are same, so we compare denominators.

Since, 7 < 11
6 6
Therefore, >
7 11
Example 4: Arrange the following fractions
6
(a) 3 , 2 , 5 , 1 and in ascending order.
7 7 7 7 7

, ,
,
(b) 2 2 2 2 and 2 in descending order.
5 11 7 9 17
Solution: (a) Here, the denominators are same, so we compare the numerators.
Since, 1 < 2 < 3 < 5 < 6

1 2 3 5 6
Therefore, < < < <
7 7 7 7 7
(b) Here, the numerators are same, so we compare the denominators.
Since, 17 > 11 > 9 > 7 > 5

Therefore, 2 > 2 > 2 > 2 > 2
5 7 9 11 17

Exercise 5.5

1. Which is greater?

,
,
,
(a) 6 2 (b) 7 13 (c) 5 , 8 (d) 9 13
9 9 11 11 23 23 13 13