# Fraction to Decimal Conversion

## Fraction to decimal conversion calculator

Enter fraction:
Decimal result:
Calculation:

Decimal to fraction converter ►

## 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.

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 ►