CONVERTING PERCENT INTO FRACTION

The process of converting percentage into fraction has been clearly explained in the picture given below. 

As shown above, let us convert 45% and 36.2% into fractions.

Steps to Convert Percentage to Fraction

Step 1 :

Write the given percentage as fraction by taking 100 as denominator. 

Step 2 :

If it is needed, the fraction can be simplified further. That's it.

In the process of converting percentage into fraction, we may have the following situations.

% (<100) ----> Proper fraction

% (>100) ----> Improper fraction / Mixed fraction

% (multiple of 100) ----> Integer

Examples

Example 1 :

Convert the percentage given below into a proper fraction

24%

Solution :

24%  =  24 / 100

24%  =  6 / 25

So, the proper fraction equal to the given percentage is

6 / 25

Example 2 :

Convert the percentage given below into a proper fraction

2.4%

Solution :

2.4%  =  2.4 / 100

2.4%  =  24 / 1000

2.4%  =  3 / 125

So, the proper fraction equal to the given percentage is

3 / 125

Example 3 :

Convert the percentage given below into a proper fraction

0.55%

Solution :

0.55%  =  0.55 / 100

0.55%  =  55 / 10000

0.55%  =  11 / 2000

So, the proper fraction equal to the given percentage is

11 / 2000

Example 4 :

Convert the percentage given below into a proper fraction

0.25%

Solution :

0.25%  =  0.25 / 100

0.25%  =  25 / 10000

0.25%  =  1 / 400

So, the proper fraction equal to the given percentage is

1 / 400

Example 5 :

Convert the percentage given below into an improper fraction

125%

Solution :

125%  =  125 / 100

125%  =  5 / 4 

So, the improper fraction equal to the given percentage is 

5 / 4

Example 6 :

Convert the percentage given below into a mixed fraction

150%

Solution :

150%  =  150/100

150%  =  3 / 2

150%  =  1 1/2

So, the mixed fraction equal to the given percentage is

1 1/2

Example 7 :

Convert the percentage given below into a proper fraction

24.25%

Solution :

24.25%  =  24.25 / 100

24.25%  =  2425 / 100

24.5%  =  97 / 400

So, the proper fraction equal to the given percentage is

97 / 400

Example 8 :

Convert the percentage given below into an integer 

200%

Solution :

200%  =  200 / 100

200%  =  2

So, the integer equal to the given percentage is 2.

Example 9 :

Convert the percentage given below into a mixed fraction

250%

Solution :

250%  =  250 / 100

250%  =  5 / 2

250%  =  2 1/2 

So, the mixed fraction equal to the given percentage is

2 1/2

Example 10 :

Convert the percentage given below into a mixed fraction

125%

Solution :

125%  =  125 / 100

125%  =  5 / 4

125%  =  1 1/4

So, the mixed fraction equal to the given percentage is

1 1/4

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