The fraction comparison is done by multiplying the numerator and denominator with a common number to get the same value. Then, the larger one is considered to greater than the other.
When 2 fractions have the same denominator, the one the larger numerator is greater.
Example:
Compare the given fraction
5/5 and 2/3
Solution:
Here 5/5 is greater than 2/3
Example: Which is larger: ^{3}/8 or ^{5}/12 ?
If you multiply 8 × 3 you get 24 , and if you multiply 12 × 2 you also get 24, so let's try that (important: what you do to the bottom, you must also do to the top):

× 3 


3 
= 
9 


8 
24 


× 3 


and 

× 2 


5 
= 
10 


12 
24 


× 2 


It is now easy to see that 9/24 is smaller than 10/24, (because 9 is smaller than 10).
so ^{5}/12 is the larger fraction.