What Is 1/6 As a Decimal?

As a decimal, the fraction 1/6 is equivalent to 0.1666, with the 6 repeating to infinity. To make it easier to write, one has the option of rounding the answer to 0.2, 0.17 or 0.167, for example.

Converting fractions to decimals is not as problematic as it may sound. It involves simple division. One simply needs to divide the denominator, or the number on the bottom of the fraction, into the numerator, which is the number on the top. The resulting decimal is the answer equivalent to the original fraction.

Using the fraction 1/6 as an example, there are just a few steps to find the decimal.

  1. The first step is to divide 6 into 1. Since 1 is less than 6, one needs to add a few decimal places after the number, making it 1.0000.
  2. Divide 6 into 1.0, which works out to 1 with a remainder of 4.
  3. Bring down the 0 from the next decimal place and put it next to the 4, making the next division step 40 divided by 6. This answer works out to be 6 with a remainder of 4.
  4. Once again, bring down the next 0 and place it next to the 4, making it 40. The answer will be the same as in the previous step, 6 with a remainder of 4. This proves the repeating 6 of the decimal equivalent.