Comparing like fractions
To compare like fractions, check the
numerators of the given fractions.
Example 6.9
Compare the shaded and unshaded part
in the following figure.
Solution
A strip is divided into 7 equal parts.
It means that each part represent 1/7
To coloured part is 3/7 = 1/7 + 1/7 +1/7
The uncoloured part is 4 /7 = 1/7 +
1/7 +1/7 +1/7
The coloured part is less than the
uncoloured part.
This tells us that 3/7 is less than
4/7
This is written as 3/7 < 4/7
Example 6.10
Compare the different shaded parts in
the following figure.
Solution
This strip is divided into 5 equal
parts. 2 out of 5 parts have one colour and 1 has another colour.
The fraction of blue coloured pard =
2/5
The fraction of yellow coloured part =
1/5
Comparing the numerators 2 and 1, we
find 2 > 1
Thereford 2/5 > 1/5
In like fractions, the
fraction with the greater numerator is the greater fraction.
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