Fraction to Decimal Conversion Table 
Calibration Resources
Fraction to Decimal Conversion Table
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 cause the repeating pattern.
Note the pattern if zeros proceed 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 gave 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 your calculator or with long division.
= 0.2145645645...