Page 66 - Math Skill - 5

64 Maths

5
4
Example 2: Compare 3 and 2 ·
5 6
Solution: Change improper fraction to proper fraction

4 354×+ 15 4+ 19
3 = = =
5 5 5 5

5 26 5×+ 12 5+ 17
2 = = =
6 6 6 6

19 17
Given fractions are and .
5 6 2 5, 6

LCM of 5 and 6 = 2 × 3 × 5 = 30 3 5, 3
5 5, 1
×
Now, 19 = 19 6 = 114 1, 1
5 56 30
×
17 = 17 5 = 85 Alternative Approach
×
6 65 30 19 17
×
5 6
114 85 19 × 6 = 114 5 × 17 = 85
Since, >
30 30 114 > 85

19 17 So, 19 > 17
So, > 5 6
5 6 4 5
4 5 Or 3 > 2 6
5
Hence, 3 > 2
5 6
Example 3: Arrange the following fractions in ascending order.

5 , 7 2 1
,
,
12 8 3 4

Solution: We will convert the given fractions into equivalent fractions with a common
denominator.

The common denominator is the LCM of 3, 4, 8, 12.

2 3, 4, 8, 12
2 3, 2, 4, 6 Fact-o-meter
2 3, 1, 2, 3 To compare unlike fraction,
3 3, 1, 1, 3 convert them to like fraction
1, 1, 1, 1 by changing their denominator
into their LCM.

LCM of 3, 4, 8, 12 = (2 × 2 × 2 × 3) = 24.