Fractions·5/13
5
13
=
0.(384615)

5/13 as a decimal is 0.(384615)

Repeating

5/13 is 0.(384615), or 38.(461538)%. 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.(384615)
Percent
38.(461538)%
Ratio
5 : 8
Repeating part
384615 (6)
Degrees of a circle
138.(461538)°
Minutes of an hour
23.(076923)
Reciprocal
13/5 = 2 3/5
Equivalent fractions
10/26, 15/39, 20/52, 25/65

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 5/13 as a decimal?

0.(384615). The 6 digits in brackets repeat for ever.

Q. What is 5/13 as a percentage?

38.(461538)%.

Q. Which fractions equal 5/13?

10/26, 15/39, 20/52, 25/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 5/13?

13/5, or 2 3/5 as a mixed number.