Page 97 - New Medley 4 Semester 2 PDF (Merged)

24 20 + 4 4 4 22 21 +1 1 1
= = 4 + = 4 and = =3 + =3
5 5 5 5 7 7 7 7

4 1 24 22
∴ 4 >3 or > [ 4 > 3]
5 7 5 7

Also, we can arrange three or more fractions in ascending
or descending order using these concepts.

Example 7: Arrange the following fractions in ascending order.
5 7 4 9 5 5 5 5
(a) , , , (b) , , ,
13 13 13 13 9 6 11 8

Solution: (a) The given fractions have the same denominator, so

the fraction with the largest numerator will be the
largest one.

Here, 4 < 5 < 7 < 9
4 5 7 9
∴ < < <
13 13 13 13

4 5 7 9
i.e., , , and are in ascending order.
13 13 13 13

(b) The given fractions have the same numerator, so the
fraction with largest denominator will be the smallest

one.

Here, 11 > 9 > 8 > 6

5 5 5 5
So, < < <
11 9 8 6
5 5 5 5
i.e., , , and are in ascending order.
11 9 8 6

2 3 7
Example 8: Arrange , and in descending order.
3 6 12

Solution: The given fractions are unlike fractions, so we convert

them into like fractions first.

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