Fractions·1/13
1
13
=
0.(076923)

1/13 as a decimal is 0.(076923)

Repeating

1/13 is 0.(076923), or 7.(692307)%. 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.(076923)
Percent
7.(692307)%
Ratio
1 : 12
Repeating part
076923 (6)
Degrees of a circle
27.(692307)°
Minutes of an hour
4.(615384)
Reciprocal
13/1 = 13
Equivalent fractions
2/26, 3/39, 4/52, 5/65

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 1/13 as a decimal?

0.(076923). The 6 digits in brackets repeat for ever.

Q. What is 1/13 as a percentage?

7.(692307)%.

Q. Which fractions equal 1/13?

2/26, 3/39, 4/52, 5/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 1/13?

13/1, or 13 as a mixed number.