4
13
0.(307692)
4/13 as a decimal is 0.(307692)
Repeating
4/13 is 0.(307692), or 30.(769230)%. 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.(307692)
- Percent
- 30.(769230)%
- Ratio
- 4 : 9
- Repeating part
- 307692 (6)
- Degrees of a circle
- 110.(769230)°
- Minutes of an hour
- 18.(461538)
- Reciprocal
- 13/4 = 3 1/4
- Equivalent fractions
- 8/26, 12/39, 16/52, 20/65
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 4/13 as a decimal?
0.(307692). The 6 digits in brackets repeat for ever.
Q. What is 4/13 as a percentage?
30.(769230)%.
Q. Which fractions equal 4/13?
8/26, 12/39, 16/52, 20/65 … multiplying top and bottom by the same number leaves the value unchanged.
Q. What is the reciprocal of 4/13?
13/4, or 3 1/4 as a mixed number.