1/3 as a Decimal

The fraction 1/3 written as a decimal.

1/3 as a decimal
0.333333…
= 33.3333% · repeating decimal
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How it works

To turn a fraction into a decimal, divide the numerator by the denominator: 1 ÷ 3 = 0.333333….

Because 3 has a prime factor other than 2 or 5, the division never ends, so 1/3 is a repeating decimal (rounded above).

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The fraction calculator adds, subtracts, multiplies, divides and simplifies any fractions, and shows each result as a decimal too.

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Frequently asked questions

What is 1/3 as a decimal?+

1/3 as a decimal is 0.333333…. It is a repeating decimal, found by dividing 1 by 3.

How do you turn 1/3 into a decimal?+

Divide the numerator by the denominator: 1 ÷ 3 = 0.333333…. A fraction gives a terminating decimal when the denominator's only prime factors are 2 and 5, and a repeating decimal otherwise.