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
55×210

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
44×25100

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
88×1251000

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
43
 0
 30
 28
   20 
   20 
     0

 

 

Fraction to Decimal converter ►

 


See also

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