Fractions·8/13
8
13
=
0.(615384)

8/13 as a decimal is 0.(615384)

Repeating

8/13 is 0.(615384), or 61.(538461)%. 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.(615384)
Percent
61.(538461)%
Ratio
8 : 5
Repeating part
615384 (6)
Degrees of a circle
221.(538461)°
Minutes of an hour
36.(923076)
Reciprocal
13/8 = 1 5/8
Equivalent fractions
16/26, 24/39, 32/52, 40/65

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 8/13 as a decimal?

0.(615384). The 6 digits in brackets repeat for ever.

Q. What is 8/13 as a percentage?

61.(538461)%.

Q. Which fractions equal 8/13?

16/26, 24/39, 32/52, 40/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 8/13?

13/8, or 1 5/8 as a mixed number.