Fractions·2/13
2
13
=
0.(153846)

2/13 as a decimal is 0.(153846)

Repeating

2/13 is 0.(153846), or 15.(384615)%. 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.(153846)
Percent
15.(384615)%
Ratio
2 : 11
Repeating part
153846 (6)
Degrees of a circle
55.(384615)°
Minutes of an hour
9.(230769)
Reciprocal
13/2 = 6 1/2
Equivalent fractions
4/26, 6/39, 8/52, 10/65

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 2/13 as a decimal?

0.(153846). The 6 digits in brackets repeat for ever.

Q. What is 2/13 as a percentage?

15.(384615)%.

Q. Which fractions equal 2/13?

4/26, 6/39, 8/52, 10/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 2/13?

13/2, or 6 1/2 as a mixed number.