Page 179 - New Medley 5 Semester 1

4 4 + 2
Here, < same number
6 6 + 2

From this, we infer that if both the
numerator and the denominator of a

proper fraction are increased by the 6 4
pizza is left pizza is left
same number, the fraction also increases. 8 6
Example 2: Arrange the following fractions in ascending order:

4 5 3 8 18 18 18 18
(a) , , , (b) , , ,
9 9 9 9 5 14 25 16

Solution: (a) The fractions have the same denominator, so compare
the different numerators.

Here, 3 < 4 < 5 < 8

3 4 5 8 3 4 5 8
So, < < < or , , ,
9 9 9 9 9 9 9 9

(b) The fractions have the same numerator, so compare

the different denominators.

Here, 5 < 14 < 16 < 25
18 18 18 18 18 18 18 18
So, < < < or , , ,
25 16 14 5 25 16 14 5

Example 3: Arrange the following fractions in descending order:

2 7 8 1 2 4 9 5
(a) 4 ,2 ,6 ,8 (b) , , ,
5 9 13 2 3 5 10 6

Solution: (a) Compare the whole number parts of the given fractions,
i.e., 8 > 6 > 4 > 2

1 8 2 7 1 8 2 7
So, 8 > 6 > 4 > 2 or 8 , 6 , 4 , 2
2 13 5 9 2 13 5 9

2 4 9 5 2 2 + 2 2 + 7 2 + 3
(b) We have , , , or , , ,
3 5 10 6 3 3 + 2 3 + 7 3 + 3

So, fractions in descending order are:
9 5 4 2 9 5 4 2
> > > or , , ,
10 6 5 3 10 6 5 3

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