Convert Percents to Fractions

To convert a Percent to a Fraction follow these steps:

 

Example: Convert 11% to a fraction

Step 1: Write down:

11 100

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

 

Answer = 11 100

Example: Convert 75% to a fraction

Step 1: Write down:

75 100

Step 2: The percent is a whole number, go straight to step 3.

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

  ÷5   ÷ 5  
right over arrow   right over arrow
75 100   =   15 20   =   3 4
right under arrow   right under arrow
  ÷5   ÷ 5  

 

Answer = 3 4

 

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

Example: Convert 62.5% to 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  
right over arrow  
62.5 100   =   625 1000
right under arrow  
  × 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  
right over arrow   right over arrow
625 1000   =   25 40   =   5 8
right under arrow   right under arrow
  ÷ 25   ÷ 5  

 

Answer = 5 8

 

Example: Convert 150% to a fraction

Step 1: Write down:

150 100

Step 2: The percent is a whole number, go straight to step 3.

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

  ÷ 50  
right over arrow  
150 100   =   3 2
right under arrow  
  ÷ 50  

 

Answer = 3 2

(which also equals , see Mixed Fractions)