Q:

# What is 1/6 as a decimal?

A:

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.

## Keep Learning

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.

Sources:

## Related Questions

• A: Calculating percentage from a decimal or a fraction requires multiplying by 100. For a decimal, this means moving the decimal point two places to the right... Full Answer >
Filed Under:
• A: The equivalent fraction to the decimal 0.27 is 27/100. Since no number greater than one divides evenly into both 27 and 100, this fraction is in its lowest... Full Answer >
Filed Under:
• A: To add a percentage to a given number involves multiplying the base number by a decimal that represents the percentage fraction. Adding two percentages tog... Full Answer >
Filed Under:
• A: One method to manually convert a fraction to a decimal is to multiply the denominator, the bottom number, by a number that will make the denominator a fact... Full Answer >
Filed Under:
PEOPLE SEARCH FOR