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coMparing and ordEring Fractions

comparing Fractions visually

Take paper plates and divide them into various
fractional parts (e.g., one into halves, another into
quarters, another into eighths).
Now, compare the parts of different fractions by placing cutouts over one another.

Note which is larger or smaller.
comparing like Fractions

We know that like fractions are fractions with the same denominator.
If the fractions are like fractions, then the fraction with the greater numerator is greater.

Example 1: Compare the following:
5
3
4
7
(a) and (b) and (c) 7 and 5
5 5 8 8 10 10
Solution: Look at the given pairs of fractions and compare them by observing the diagrams.
7
5
3
4
(a) and (b) and (c) 7 and 5
5 5 8 8 10 10

4 > 3 5 < 7 7 > 5
5 5 8 8 10 10

Think Tank Logical Thinking

Ria and Sia went to a juice corner. They bought the same quantity of juice.
2 5
Ria drank and Sia drank of the juice. Who drank more juice?
9 9

comparing unlike Fractions

For Fractions with the same numerator

For fractions with the same numerator, the fraction with the smaller denominator is greater.
1
1
Let us compare and .
2 3
1
Look at the adjoining figure. For , the strip has been divided into 2 equal
parts and one part is shaded. 2
1
For , the same strip has been divided into three equal parts and one part is shaded.
3
Clearly, 1 shaded part out of 2 equal parts is larger than 1 shaded part out of 3 equal
parts.
1 1
Hence, > .
2 3

Mathematics-5 85