CONVERTING PERCENT INTO FRACTION

Converting Percent into Fraction :

In this section, we are going to learn, how percentage can be converted 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.

Converting Percentage into Fraction - Steps Involved

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

Converting Percentage into Fraction - 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

After having gone through the stuff given above, we hope that the students would have understood, how to convert percentage into fraction.  

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