Fraction to Decimal Conversion

Fraction to decimal conversion calculator

Enter fraction:

Decimal result:

Calculation:

Decimal to fraction converter ►

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

Use calculator to divide the fraction's numerator by the denominator.
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

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