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# Comparing Fractions – Speed Maths Tricks

In IBPS Bank Exams, we can expect 1 or 2 questions on comparing fractions as shown below

### Examples:

(1) Arrange the given fractions in ascending or descending order
(2) To find the smallest fraction of the given fractional numbers
(3) Which is the 2nd highest fraction
(4) Which is 5th lowest fraction from the following fractions
(5) Find the correct order of the given fractions from smallest to biggest number. etc.,

By using the following trick we can answer these questions in very less time and in a simple way. Let us solve some example questions

Arranging the fractions by comparing

Ascending Order: Small to Big number
Descending Order: Big to Small number.

To explain, we feel this method as the long process but after understanding properly we can solve quicker than other methods.

## Example Problems on Comparision of Fractions: (From Previous Question Papers)

Usually, these type of problems can be solved by converting fractions into decimal values but it is time-consuming. Instead of converting fractions into decimals, compare by multiplying numerator and denominator of two fractions. Whichever is greater that fraction is the bigger than the other number.

1. Out of the fractions 9/31, 3/17, 6/23, 4/11 and 7/25. Which is the largest fraction?
(a) 9/31
(b) 3/17
(c) 6/23
(d) 4/11 2. Which of the following fractions is the least ?
(a) 12/119
(b) 1/10
(c) 4/39
(d) 7/69 3. If the fraction 3/5, 5/8, 16/25, 4/5, 9/16 are arranged in ascending order of their values, Which one will be the second?
(a) 3/5
(b) 16/25
(c) 9/16
(d) 4/5 4. 4/5, 7/6, 1/5, 6/7 Find the correct order of arrangement (ascending order) from the following options
(a) 4/5 < 7/6 < 6/7 < 1/5
(b) 7/6 < 6/7 < 4/5 < 1/5
(c) 1/5 < 7/6 < 6/7 < 4/5
(d) 1/5 < 4/5 < 6/7 < 7/6

Solution: First choose any fraction (example 4/5) and compare with other numbers

4/5 and 7/6 => cross multiply so that you get
24 35, here 35 is big so 7/6 is bigger than 4/5

compare 7/6 with other numbers

7/6 and 6/7
49 36 So 49 is bigger then 7/6 is bigger than 6/7

7/6 and 1/5

35 6 so 7/6 is greater than all other numbers

Then compare remaining numbers
1/5 < 4/5 < 6/7 < 7/6

5 < 20 < 30 < 49 ( check the cross multiplication of numerator of 1st number with denominator of 2nd number and observe)

5. Which of the following fraction is highest?
(a) 18/7
(b) 13/5
(c) 6/5
(d) 9/11

### Comparing Fractions Practice Problems for IBPS Clerks

1. Out of the fractions 9/31, 3/17, 6/23, 4/11 and 7/25. Which is the largest fraction?

2. Out of the fractions 3/7, 4/9, 6/11, 8/13 and 7/15. Which is the second highest fraction?

If the fractions 4/5, 2/7, 9/13, 6/11 and 5/9 are arranged in ascending order of their values. Which one will be the second?

If the fractions 3/5,2/3,1/4, 5/7 and 6/11 are arranged in ascending order of their values which one will be the fourth?

If the following fractions 7/8,4/5, 8/14, 3/5 and 5/6 are arranged in descending order which will be the last in the series?