Page 78 - Maths Class 05
P. 78
Comparing Fractions
Like Fractions
4 6 7
8 8 8
From the above it is clear that
4 6 7
< <
8 8 8
We compare the numerators. The greater numerator is a greater fraction.
4
7
Example : Compare and .
8 8
4 7
Solution : Fractions and are like fractions. The denominators of these
8 8
fractions are the same. On comparing the numerators, we find 4 < 7.
4 7
Hence, < .
8 8
3 1
Example : Compare and .
4 2
1
Solution : Converting to a like fraction we get
2
1 1 × 2 2
= =
2 2 × 2 4
Now, the given fractions are like fractions, as the denominators are the
same. On comparing the numerators, we find 3 > 2.
3 2 3 1
Therefore, > or > (Writing the original fraction).
4 4 4 2
Example : Arrange these fractions in ascending order.
6 14 5
9
4 , , , ,
Solution :
24 24 24 24 24
The ascending order is
4 5 6 9 14
9 14
6
4 , , , , < < < <
5
24 24 24 24 24 24 24 24 24 24
Example : Arrange these fractions in descending order.
6 , , , ,
14 8 19 25
Solution :
33 33 33 33 33
Mathematics-5 78
