How to transform fraction to decimal

Method #1

Expand the denominator to be a strength of 10.

Example #1

three/5 is increased to 6/10 through multiplying the numerator by 2 and denominator with the aid of 2:

three	=	3×2	=	6	=	zero.6
5		5×2		10

Example #2

three/4 is improved to seventy five/one hundred by multiplying the numerator thru 25 and denominator with the resource of 25:

three	=	3×25	=	75	=	zero.75
four		four×25		one hundred

Example #3

five/8 is prolonged to 625/one thousand via way of multiplying the numerator through the use of a hundred twenty five and denominator through 125:

five	=	5&instances;125	=	625	=	0.625
eight		8&instances;one hundred twenty five		1000

Method #2

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

Example #1

2/5 = 2÷5 = zero.Four

Example #2

1 2/five = 1+2÷5 = 1.Four

Method #three

Use long department to divide the fraction's numerator with the resource of the fraction's denominator.

Example

Calculate 3/four via long branch of three divided with the useful resource 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 ►