Fractions·6/13
6
13
=
0.(461538)

6/13 as a decimal is 0.(461538)

Repeating

6/13 is 0.(461538), or 46.(153846)%. 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.(461538)
Percent
46.(153846)%
Ratio
6 : 7
Repeating part
461538 (6)
Degrees of a circle
166.(153846)°
Minutes of an hour
27.(692307)
Reciprocal
13/6 = 2 1/6
Equivalent fractions
12/26, 18/39, 24/52, 30/65

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 6/13 as a decimal?

0.(461538). The 6 digits in brackets repeat for ever.

Q. What is 6/13 as a percentage?

46.(153846)%.

Q. Which fractions equal 6/13?

12/26, 18/39, 24/52, 30/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 6/13?

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