Page 65 - Math Skill - 5

Fractions 63

Exercise 5.3

1. Which of the following fractions are in the simplest form?
35 36 56 28 15
(a) (b) (c) (d) (e)
54 81 78 57 20
2. Reduce each of the following fractions to its simplest form.

40 56 36 70
(a) (b) (c) (d)
48 80 45 90
3. Circle the greater fraction in each of the following pairs.
9 11 6 6 15 23 7 7
(a) , (b) , (c) , (d) ,
13 13 11 7 29 29 9 13
4. Arrange the following fractions in ascending order.

8 2 3 6 10 7 7 7 7 7 3 3 3 3 3
(a) , , , , (b) , , , , (c) , , , ,
17 17 17 17 17 15 9 11 17 23 5 13 17 8 7

5. Arrange the following fractions in descending order.
2 2 2 2 2 31 25 6 11 17 16 22 11 15 7
(a) , , , , (b) , , , , (c) , , , ,
7 11 13 5 15 29 29 29 29 29 31 31 31 31 31

Comparing Unlike Fractions
We can compare two or more unlike fractions by following these steps:

Step 1: Find the LCM of the denominators of given unlike fractions.

Step 2: Convert the given unlike fractions into Fact-o-meter
equivalent like fractions with the LCM If one or more of the given fractions

as common denominator. is/are mixed fractions, convert them
into improper fractions before following
Step 3: Compare the like fractions so obtained. the above steps.

Let’s Attempt

5 4
Example 1: Compare and .
9 6
Solution: The given fractions are unlike fractions. 2 6, 9

LCM of 6 and 9 = 2 × 3 × 3 = 18 3 3, 9
5 52× 10 4 43× 12 3 1, 3
Now, = = and = = 1, 1
9 92× 18 6 63× 18

Clearly, 12 > 10
18 18

Hence, 4 > 5
6 9