1/3 as a Percent and Decimal (Step by Step)

Quick answer: 1/3 = 0.333… ≈ 33.33%. Unlike a quarter, one-third is a repeating decimal, so it doesn't end neatly.

1/3 as a decimal

Divide the numerator by the denominator:

1 ÷ 3 = 0.33333…

The 3s repeat forever, so this is a recurring decimal, written 0.3̄ (a bar over the 3) or rounded to 0.33 for everyday use.

1/3 as a percent

Multiply the decimal by 100:

0.3333… × 100 = 33.333…%

So 1/3 ≈ 33.33%. The exact value is 33⅓% (thirty-three and one-third percent).

Why it repeats

A fraction gives a terminating (ending) decimal only when its denominator's prime factors are just 2s and 5s. The denominator here is 3, which isn't 2 or 5 — so the division never resolves and the digits repeat. Compare this with 1/4, whose denominator (4 = 2 × 2) gives the clean decimal 0.25.

Rounding sensibly

How you round 1/3 depends on the context:

• Everyday: 0.33 or 33%
• More precise: 0.333 or 33.33%
• Exact: ⅓ or 33⅓%

If three people split a bill equally, each pays ⅓ — and rounding can leave a cent unaccounted for, which is worth remembering.

Convert any fraction

To convert your own fraction, divide top by bottom for the decimal, then ×100 for the percent — or let our percentage calculator do it with the steps shown. For more, see how to calculate percentages quickly.