3
13
0.(230769)
3/13 as a decimal is 0.(230769)
Repeating
3/13 is 0.(230769), or 23.(076923)%. It repeats with a period of 6 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.(230769)
- Percent
- 23.(076923)%
- Ratio
- 3 : 10
- Repeating part
- 230769 (6)
- Degrees of a circle
- 83.(076923)°
- Minutes of an hour
- 13.(846153)
- Reciprocal
- 13/3 = 4 1/3
- Equivalent fractions
- 6/26, 9/39, 12/52, 15/65
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 3/13 as a decimal?
0.(230769). The 6 digits in brackets repeat for ever.
Q. What is 3/13 as a percentage?
23.(076923)%.
Q. Which fractions equal 3/13?
6/26, 9/39, 12/52, 15/65 … multiplying top and bottom by the same number leaves the value unchanged.
Q. What is the reciprocal of 3/13?
13/3, or 4 1/3 as a mixed number.