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comparing Unlike Fractions with same numerator

We can compare unlike fractions having the same numerator.

Example 3: Compare 3 and 3 .
6 4 3
Solution: Let us look at the fractions using figures. 3 4
6
Looking at the shaded parts, we find that
3 < 3 Be Aware

6 4 (But 6 > 4) In unlike fractions with the same
numerator, the fraction with the
ordering Fractions greater denominator is smaller.

1 3 5 4 2
Example 4: Arrange the fractions , , , and in ascending order.
6 6 6 6 6
Solution:

1 2 3 4 5
6 6 6 6 6
1 < 2 < 3 < 4 < 5
Think Tank Logical Thinking
So, the fractions in ascending order are: What is the fraction

of boys and girls to
1 < 2 < 3 < 4 < 5 the total number of students in
6 6 6 6 6 your class? Which fraction is
greater?
5 5 5 5 5
Example 5: Arrange the fractions , , ,, in descending order.
6 10 8 7 9

Solution: Since the numerators of the given fractions are the same, the fraction

with the greater denominator will be the smaller fraction.
Comparing the denominators of the given fractions, 10 > 9 > 8 > 7 > 6.

5 5 5 5 5
Thus, the fractions in descending order are: > > > >
6 7 8 9 10

Practice time 6d

1. Fill in the boxes with > or <.

(a) 3 1 (b) 4 8 (c) 10 8 (d) 3 3 (e) 3 5
4 4 9 9 15 15 15 8 8 8

(f) 1 3 (g) 4 4 (h) 6 7 (i) 3 3 (j) 1 1
5 5 3 7 8 8 5 3 2 5

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