Fraction
to Decimal Conversion 
(Math  General
 Fraction to Decimal Conversion) 
Fraction to Decimal Conversion Tables
Important Note:
any span of numbers that is underlined signifies that those numbers
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 precede 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 nonrepeating part, such
as 0.21456456456456456..., to a fraction, write it as the sum of
the nonrepeating part and the repeating part.
0.21 + 0.00456456456456456...
Next, convert each of these decimals to fractions. The first decimal has
a divisor of power ten. The second decimal (which repeats) is converted
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...
