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.

Need to convert a repeating decimal to a fraction? Follow these examples:
Note the following pattern for repeating decimals:
0. 2 2222222... = 2/9
0. 54 545454... = 54/99
0. 298 298298... = 298/999
Division by 9's causes the repeating pattern.

Note the pattern if zeros precede the repeating decimal:
0.0 2 2222222... = 2/90
0.000 54 545454... = 54/99000
0.00 298 298298... = 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 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...