What is -3 5/16 as a decimal

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How to convert fraction to decimal
Fraction to decimal conversion table
Fraction to Decimal Conversion Tables
How do you put 5/16 into a decimal?
What is 3/5 fraction as a decimal?
How do you express 3/16 as a decimal?
What is 3 and 5/8 as a decimal?

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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

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Fraction to Decimal Conversion Tables

Important Note: any span of numbers that is underlined signifies that those numbes are repeated. For example, 0.09 signifies 0.090909....

Only fractions in lowest terms are listed. For instance, to find 2/8, first simplify it to 1/4 then search for it in the table below.

fraction = decimal
1/1 = 1
1/2 = 0.5
1/3 = 0.3	2/3 = 0.6
1/4 = 0.25	3/4 = 0.75
1/5 = 0.2	2/5 = 0.4	3/5 = 0.6	4/5 = 0.8
1/6 = 0.16	5/6 = 0.83
1/7 = 0.142857	2/7 = 0.285714	3/7 = 0.428571	4/7 = 0.571428
	5/7 = 0.714285	6/7 = 0.857142
1/8 = 0.125	3/8 = 0.375	5/8 = 0.625	7/8 = 0.875
1/9 = 0.1	2/9 = 0.2	4/9 = 0.4	5/9 = 0.5
	7/9 = 0.7	8/9 = 0.8
1/10 = 0.1	3/10 = 0.3	7/10 = 0.7	9/10 = 0.9
1/11 = 0.09	2/11 = 0.18	3/11 = 0.27	4/11 = 0.36
	5/11 = 0.45	6/11 = 0.54	7/11 = 0.63
	8/11 = 0.72	9/11 = 0.81	10/11 = 0.90
1/12 = 0.083	5/12 = 0.416	7/12 = 0.583	11/12 = 0.916
1/16 = 0.0625	3/16 = 0.1875	5/16 = 0.3125	7/16 = 0.4375
	11/16 = 0.6875	13/16 = 0.8125	15/16 = 0.9375
1/32 = 0.03125	3/32 = 0.09375	5/32 = 0.15625	7/32 = 0.21875
	9/32 = 0.28125	11/32 = 0.34375	13/32 = 0.40625
	15/32 = 0.46875	17/32 = 0.53125	19/32 = 0.59375
	21/32 = 0.65625	23/32 = 0.71875	25/32 = 0.78125
	27/32 = 0.84375	29/32 = 0.90625	31/32 = 0.96875

Need to convert a repeating decimal to a fraction? Follow these examples:
Note the following pattern for repeating decimals:
0.22222222... = 2/9
0.54545454... = 54/99
0.298298298... = 298/999
Division by 9's causes the repeating pattern.

Note the pattern if zeros preceed the repeating decimal:
0.022222222... = 2/90
0.00054545454... = 54/99000
0.00298298298... = 298/99900
Adding zero's to the denominator adds zero's before the repeating decimal.

To convert a decimal that begins with a non-repeating part, such as 0.21

456

456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.
0.21 + 0.00

456

456456456456...
Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is convirted according to the pattern given above.
21/100 + 456/99900
Now add these fraction by expressing both with a common divisor
20979/99900 + 456/99900
and add.
21435/99900
Finally simplify it to lowest terms
1429/6660
and check on your calculator or with long division.
= 0.2145645645...