Comparing Fractions

This topic is of extremely important for Data Interpretation and other areas of Quants Paper. It is highly recommended for aspirants of various exams to internalize the concepts .

Type 1 : When the numerators are same

When the numerators are same and denominators are different , the fraction with the highest denominator is the smallest.

Example : 3/5 , 3/7 , 3/13 , 3/8

Here the smallest fraction is 3/13 and the largest fraction is 3/5

Type 2 : When the numerators are different but the denominators are all same

The fraction with the largest denominator is the largest.

Example : 7/5 , 9/5 , 4/5 , 11/5

 Here the smallest fraction is 4/5 and the largest fraction is 11/5

Type 3 :Fraction with the largest denominator and smallest numerator is the largest
Example : 19/16 , 24/11 , 17/13 , 21/14 , 23 /15

Here 24/11 is the largest fraction.

Type 4 :When the difference between the numerator and the denominator is same ( When the value of the fraction is less than 1)

When the difference between the numerator and the denominator is same the fraction with the largest value of numerator and denominator is the largest.


Example : 31/37 , 23/29 , 17/23 , 35/41 , 13/19

Here 35/41 is the largest fraction and 13/19 is the smallest fraction.



Type 5 :When the difference between the numerator and the denominator is same ( When the value of fraction is more than 1)

When the difference between the numerator and the denominator is same the fraction with the smallest value of numerator and denominator is the largest.


Example :31/27 , 43/39 , 57/53 , 27/23 , 29/25

Here the largest fraction is 27/23


These fraction comparisons are extremely useful for quick DI calculations .

Hope you find them useful.

Happy preparations.......