Fraction to Decimal Calculator

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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 to divide the fraction’s numerator by the denominator.
2. 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

Use long division to divide the fraction’s numerator 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 conversion table

Fraction
Decimal

1/2
0.5

1/3
0.33333333

2/3
0.66666667

1/4
0.25

2/4
0.5

3/4
0.75

1/5
0.2

2/5
0.4

3/5
0.6

4/5
0.8

1/6
0.16666667

2/6
0.33333333

3/6
0.5

4/6
0.66666667

5/6
0.83333333

1/7
0.14285714

2/7
0.28571429

3/7
0.42857143

4/7
0.57142858

5/7
0.71428571

6/7
0.85714286

1/8
0.125

2/8
0.25

3/8
0.375

4/8
0.5

5/8
0.625

6/8
0.75

7/8
0.875

1/9
0.11111111

2/9
0.22222222

3/9
0.33333333

4/9
0.44444444

5/9
0.55555556

6/9
0.66666667

7/9
0.77777778

8/9
0.88888889

1/10
0.1

2/10
0.2

3/10
0.3

4/10
0.4

5/10
0.5

6/10
0.6

7/10
0.7

8/10
0.8

9/10
0.9

1/11
0.09090909

2/11
0.18181818

3/11
0.27272727

4/11
0.36363636

5/11
0.45454545

6/11
0.54545454

7/11
0.63636363

8/11
0.72727272

9/11
0.81818181

10/11
0.90909091

 

Decimal to fraction conversion ►

 

See also