Converting Percent into Fraction :
In this section, we are going to learn, how to convert percentages into fractions.
The process of converting percentage into fraction has been clearly explained in the picture given below.
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 number
% (multiple of 100) ----> Integer
Example 1 :
Convert the percentage given below into a proper fraction
24%
Solution :
24% = 24/100 = 6/25
Hence the proper fraction equal to the given percentage is6/25.
Example 2 :
Convert the percentage given below into a proper fraction
2.4%
Solution :
2.4% = 2.4/100 = 24/1000 = 3/125
Hence 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 = 55/10000 = 11/2000
Hence 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 = 25/10000
Hence the proper fraction equal to the given percentage is 1/400.
Example 5 :
Convert the percentage given below into an improper fraction
75%
Solution :
75% = 75/100 = 3/4
Hence the proper fraction equal to the given percentage is 3/4.
Example 6 :
Convert the percentage given below into a mixed fraction
150%
Solution :
150% = 150/100 = 3/2 = 1½
Hence the mixed number equal to the given percentage is 1½.
Example 7 :
Convert the percentage given below into a proper fraction
24.25%
Solution :
24.25% = 24.25/100 = 2425/1000 = 97/400
Hence 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 = 2
Hence 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 = 5/2 = 2½
Hence the mixed number equal to the given percentage is 2½.
Example 10 :
Convert the percentage given below into a mixed fraction
125%
Solution :
125% = 125/100 = 5/4 = 1¼
Hence the mixed number equal to the given percentage is 1¼.
After having gone through the stuff and examples, we hope that the students would have understood "How to convert percentage into fraction".
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