CONVERTING PERCENTAGE TO FRACTION

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

percenttofraction1.png

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

percenttofraction.png

Steps to Convert Percentage to Fraction

Step 1 :

Write the given percentage as fraction by taking 100 as denominator.  5

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

Convert the following percentages to fractions. 

Example 1 :

24%

Solution :

24%  =  24/100

=  6/25

Example 2 :

2.4%

Solution :

2.4%  =  2.4/100

=  24/1000

=  3/125

Example 3 :

0.55%

Solution :

0.55%  =  0.55/100

=  55/10000

=  11/2000

Example 4 :

Convert the percentage given below into a proper fraction

0.25%

Solution :

0.25%  =  0.25/100

=  25/10000

=  1/400

Example 5 :

125%

Solution :

125%  =  125/100

=  5/4

Example 6 :

150%

Solution :

150%  =  150/100

=  3/2

Example 7 :

24.25%

Solution :

24.25%  =  24.25/100

=  2425/10000

=  97/400

Example 8 :

200%

Solution :

200%  =  200/100

=  2

Example 9 :

250%

Solution :

250%  =  250/100

=  5/2 

Example 10 :

125%

Solution :

125%  =  125/100

=  5/4

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