1/3 as a Decimal

Explained step by step — with reference tables, charts, and a live converter.

1/3 as a decimal is 0.(3).

Convert any value

Result0.(3)

Step by step

  1. 1. Set up the division

    A fraction means numerator ÷ denominator, so 1 ÷ 3.

  2. 2. Divide

    Carry out the division: 1 ÷ 3 = 0.(3).

The fraction visualized

1/3
1 of 3 parts shaded

On the number line

01/41/23/410.3333
This value: 0.3333

Common fractions compared

1/81/43/81/25/83/47/8

The three forms

The same value can be written as a fraction, a decimal, and a percent: 1/3 = 0.(3) = 33.3333%.

Fraction ↔ Decimal ↔ Percent

FractionDecimalPercent
1/20.550%
1/30.333333.33%
2/30.666766.67%
1/40.2525%
3/40.7575%
1/50.220%
2/50.440%
1/80.12512.5%
3/80.37537.5%
5/80.62562.5%
7/80.87587.5%
1/100.110%
1/160.06256.25%

Rounded to 1–6 decimal places

Decimal places1/3
10.3
20.33
30.333
40.3333
50.33333
60.333333

About fractions, decimals, and percents

Fractions, decimals, and percents are three ways of writing the same proportion. A fraction is the ratio of two whole numbers, a decimal is the result of dividing them, and a percent is that same number expressed per hundred.

These conversions are pure math and never change — the results on this page are exact, not rounded (except where rounding is explicitly shown).

Frequently asked questions

What is 1/3 as a Decimal?

1/3 as a decimal is 0.(3).

How do you convert 1/3 to a decimal?

Divide the numerator 1 by the denominator 3. The result is 0.(3).

What is 1/3 as a percent?

1/3 equals 33.3333%.

What does “in lowest terms” mean?

A fraction is in lowest terms (simplest form) when the numerator and denominator share no common factor other than 1. For example, 6/8 can still be reduced, but 3/4 cannot.

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