# What is the decimal equivalent of 1/6?

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The decimal counterpart of the fraction 1/6 is 0.1666, with the 6 repeating indefinitely. The answer can be rounded to 0.2, 0.17, or 0.167, for example, to make it easier to write.

Converting fractions to decimals isn’t as difficult as it might appear. Simple division is required. Simply divide the denominator (the number at the bottom of the fraction) by the numerator (the number at the top of the fraction). The decimal that results is the answer that equals the original fraction.

The decimal can be found in a few steps using the fraction 1/6 as an example.

Divide 6 by 1 as the first step. Because 1 is less than 6, it must be multiplied by a few decimal places, resulting in 1.0000.

6 divided by 1.0 equals one with a remainder of four.

Next, divide 40 by 6 by bringing down the 0 from the next decimal place and placing it next to the 4. This gives a total of 6 with a residual of 4.

Bring the next 0 down and position it next to the 4, making the total 40. The solution will be 6, with a remaining of 4, as in the previous phase. This demonstrates the decimal equivalent’s repeating 6 rule.

Read more: What does the “C” in E=mc2 stand for?

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