CONVERTING PERCENT INTO FRACTION
About "Converting Percent into Fraction"
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.
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 number
% (multiple of 100) ----> Integer
Converting Percent into Fraction - Examples
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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