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Solution. The given fractions form a group of like fractions. So, we compare their

2 4 5 8
numerators. Here, 2 < 4 < 5 < 8. So, < < < .
9 9 9 9

2 4 5 8
Thus, the ascending order of the fractions is , , , .
9 9 9 9

Comparing Unlike Fractions with the Same numerator

Look at the following pairs of unlike fractions and compare them
by observing the figures. Unlike fractions
are fractions
with different
2 2 1 1 3 3 denominators.
a. and b. and c. and
3 4 6 8 4 6

Clearly, 2 > 2 1 > 1 3 > 3
3 4 6 8 4 6

Thus, if the given fractions are unlike fractions with the same numerator, then the
fraction with the smaller denominator is greater than the other.

5 5 5 5
Example 2. Arrange , , and in descending order.
7 4 9 6

Solution. The fractions are unlike fractions with the same numerator. So, we compare

5 5 5 5
their denominators. Here, 4 < 6 < 7 < 9. So, > > > .
4 6 7 9

5 5 5 5
Thus, the descending order of the fractions is , , , .
4 6 7 9

Comparing Fractions using a number Line

A number line can help us understand how to compare fractions. Look at the number
line given below.

0 1 2 3 4 5 6 7 1
8 8 8 8 8 8 8

95
Fractions