# How Do You Write 1/6 in Decimal?

As a decimal, 1/6 is equal to 0.1666, and the number 6 can be repeated forever. One could round the answer to 0.2, 0.17, or 0.167, for example, to make it easier to write.

Changing fractions to decimals isn’t as hard as it might sound. It involves simple division. The denominator, which is the number at the bottom of the fraction, just needs to be divided by the numerator, which is the number at the top. The answer is the decimal that is the same as the original fraction.

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

First, divide 6 by 1 to get 1. Since 1 is less than 6, the number needs to be written with a few more decimal places, making it 1.0000.

Divide 6 into 1.0, which works out to 1 with a remainder of 4.

Move the 0 from the next decimal place to the 4 and put it there. The next step is to divide 40 by 6. This answer comes to 6 with a 4 left over.

Again, move the next 0 down and put it next to the 4, making the number 40. The answer is the same as it was in the last step: 6 with a 4 left over. This shows that the decimal equivalent of 6 is 6.