Convert Percents to Fractions

To convert a Percent to a Fraction follow these steps:

Step 1: Write down the percent divided by 100.
Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)
Step 3: Simplify (or reduce) the fraction

 

Example: Express 11% as a fraction

Step 1: Write down:

11
100

Step 2: The percent is a whole number, so no need for step 2.

Step 3: The fraction cannot be simplified further.

 

Answer = 11/100

Example: Express 75% as a fraction

Step 1: Write down:

75
100

Step 2: The percent is a whole number, so no need for step 2.

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!):

  ÷5   ÷ 5  
 
75 = 15 = 3
100 20 4
 
  ÷5   ÷ 5  

 

Answer = 3/4

 

Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction !

Example: Express 62.5% as a fraction

Step 1: Write down:

62.5
100

Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)

  × 10  
 
62.5 = 625
100 1,000
 
  × 10  


(See how this neatly makes the top a whole number?)

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :

  ÷ 25   ÷ 5  
 
625 = 25 = 5
1,000 40 8
 
  ÷ 25   ÷ 5  

 

Answer = 5/8

 

Example: Express 150% as a fraction

Step 1: Write down:

150
100

Step 2: The percent is a whole number, so no need for step 2.

Step 3: Simplify the fraction (I did it one step):

  ÷ 50  
 
150 = 3
100 2
 
  ÷ 50  

 

Answer = 3/2

(which also equals , see Mixed Fractions)

 

 
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