When you need to compare fraction with same numerator, the fraction with smallest denominator is greatest.
For example
1 3
>
1 5
Following are few examples explaining How to compare fractions with same numerator :-
Example 1 : Compare the following unlike fractions and check which one is greater
15 6
and
15 8
Answer = The given fraction have same numerator i.e 15, so we compare them on the basis of their denominator.
The fraction which have smallest denominator is greatest.
In the given example denominator 6 is smaller than denominator 8.
Hence
15 6
>
15 8
Example 2 : Compare between following unlike fractions and check which one is greater
9 8
and
9 2
Answer = The given fraction have same numerator i.e 9, so we compare them on the basis of their denominator.
The fraction which have smallest denominator is greatest.
In the given example denominator 2 is smaller than denominator 8.
Hence
9 2
>
9 8
Example 3 : Compare the following unlike fractions and check which one is greater
77 32
and
77 23
Answer = The given fraction have same numerator i.e 77, so we compare them on the basis of their denominator.
The fraction which have smallest denominator is greatest.
In the given example denominator 23 is smaller than denominator 32.
Hence
77 23
>
77 32
Example 4 the following unlike fractions and check which one is greater
243 100
and
243 150
Answer = The given fraction have same numerator i.e 243, so we compare them on the basis of their denominator.
The fraction which have smallest denominator is greatest.
In the given example denominator 100 is smaller than denominator 150.
Hence
243 100
>
243 150
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