1
3
0.(3)
1/3 as a decimal is 0.(3)
Repeating
1/3 is 0.(3), or 33.(3)%. It repeats with a period of 1 digits.
The digits in brackets repeat for ever. 0.1(6) is 0.16666… and 0.(3) is 0.3333…
Seen as a length
The whole is cut into as many parts as the denominator, and as many are filled as the numerator. The tick marks the halfway point.
- Decimal
- 0.(3)
- Percent
- 33.(3)%
- Ratio
- 1 : 2
- Repeating part
- 3 (1)
- Degrees of a circle
- 120°
- Minutes of an hour
- 20
- Reciprocal
- 3/1 = 3
- Equivalent fractions
- 2/6, 3/9, 4/12, 5/15
Same denominator
Nearby values
How to read this
- The digits in brackets repeat for ever — 0.1(6) means 0.16666…
- If the denominator has no prime factors besides 2 and 5, the decimal stops.
- Equal fractions do not get separate pages: looking up 2/4 brings you to 1/2.
- A percentage is the same number times 100; degrees are the same number times 360.
Frequently asked questions
Q. What is 1/3 as a decimal?
0.(3). The 1 digits in brackets repeat for ever.
Q. What is 1/3 as a percentage?
33.(3)%.
Q. Which fractions equal 1/3?
2/6, 3/9, 4/12, 5/15 … multiplying top and bottom by the same number leaves the value unchanged.
Q. What is the reciprocal of 1/3?
3/1, or 3 as a mixed number.