1/3 as a Decimal and Percent
1/3 = 0.3 = 33.333333%
1/3 as a decimal is 0.3 (the digits under the bar repeat forever, so rounded it is 0.3333333333).
How to convert 1/3 to a decimal
Divide the numerator by the denominator: 1 ÷ 3 = 0.3. With long division:
| Divide | Result digit | Remainder |
|---|---|---|
| 1 ÷ 3 | 0 | 1 |
| 10 ÷ 3 | 3 | 1 |
A remainder comes back that we have seen before, so the digits 3 repeat forever.
As a percentage
Multiply the decimal by 100: 0.3333333333 × 100 = 33.333333%.
1/3 in other forms
- Decimal
- 0.3
- Percent
- 33.333333%
- Simplest form
- 1/3 (already in lowest terms)
- Reciprocal
- 3/1 = 3
- Ratio
- 1:3
Equivalent fractions
Nearby fractions
| 2/3 | 0.6666666667 |
| 4/3 | 1.3333333333 |
Frequently asked questions
What is 1/3 as a decimal?
1/3 = 0.3333333333 (repeating).
What is 1/3 as a percent?
1/3 = 33.333333%.