What is 1/3 as a Decimal?

Are you trying to figure out how to write 1/3 in the form of a decimal?

Solution: 1/3 as a decimal is 0.3333…

Follow along to see how to convert fractions like this to decimal form.

How to Convert 1/3 to Decimal

To convert 1/3 to a decimal, you need to use the division method. Here is the formula:

1/3 = 1 ÷ 3 = 0.3333…

To use the division method to express 1/3 as a decimal, divide the fraction's numerator (1) by the denominator (3), which is equal to 0.3333….

1/3 is a Repeating Decimal

This formula results in a repeating decimal, which can be more cleanly expressed using a line (called a vinculum) over the repeating part.

Thus, 1/3 expressed as a repeating decimal is 0.33 with a vinculum over the repeating portion of the number.

You can use a similar method to write 1/3 as a percentage.

Convert Another Fraction to Decimal

Use our fraction to decimal calculator to rewrite any fraction as a decimal. The calculator shows each step in the conversion, so you can follow along.

Fraction:

Decimal Result:

 

Steps to Solve

 
 
Learn how we calculated this below

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More Fraction to Decimal Conversions

See how to convert these common fractions to decimal values:

You might also like our equivalent fractions chart for finding the equivalent decimal values for common fractions.