How to Convert Fraction to Decimal

Method #1

Expand the denominator to be a power of 10.

Example #1

3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:

3 = 3×2 = 6 = 0.6
5 5×2 10

Example #2

3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

3 = 3×25 = 75 = 0.75
4 4×25 100

Example #3

5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:

5 = 5×125 = 625 = 0.625
8 8×125 1000

Method #2

  1. Use calculator.
  2. Calculate the fraction's numerator divided by the fraction's denominator.
  3. For mixed numbers add the integer.

Example #1

2/5 = 2÷5 = 0.4

Example #2

1 2/5 = 1+2÷5 = 1.4

Method #3

Calculate long division of the fraction's numerator divided by the fraction's denominator.

Example

Calculate 3/4 by long division of 3 divided by 4:

  0.75
4 3
  0
  30
  28
    20 
    20 
      0

 

Fraction to Decimal converter ►

 


See also

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