How to transform fraction to decimal

Method #1

Expand the denominator to be a power of 10.

Example #1

3/five is extended to 6/10 through multiplying the numerator by 2 and denominator with the aid of 2:

three	=	3×2	=	6	=	zero.6
5		five×2		10

Example #2

three/four is advanced to 75/one hundred by multiplying the numerator via 25 and denominator with the aid of 25:

three	=	3&instances;25	=	75	=	zero.75
4		4&instances;25		a hundred

Example #3

five/eight is extended to 625/one thousand thru way of multiplying the numerator via using a hundred twenty 5 and denominator via one hundred twenty five:

five	=	five×125	=	625	=	zero.625
eight		8&instances;100 twenty five		a thousand

Method #2

1. Use calculator to divide the fraction's numerator with the aid of the denominator.
2. For blended numbers add the integer.

Example #1

2/five = 2÷5 = 0.Four

Example #2

1 2/five = 1+2÷five = 1.Four

Method #three

Use lengthy department to divide the fraction's numerator with the aid of the fraction's denominator.

Example

Calculate 3/four through lengthy branch of three divided with the useful aid of four:

	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 ►