Fractions·13/21
13
21
=
0.(619047)

13/21 as a decimal is 0.(619047)

Repeating

13/21 is 0.(619047), or 61.(904761)%. 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.(619047)
Percent
61.(904761)%
Ratio
13 : 8
Repeating part
619047 (6)
Degrees of a circle
222.(857142)°
Minutes of an hour
37.(142857)
Reciprocal
21/13 = 1 8/13
Equivalent fractions
26/42, 39/63, 52/84, 65/105

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 13/21 as a decimal?

0.(619047). The 6 digits in brackets repeat for ever.

Q. What is 13/21 as a percentage?

61.(904761)%.

Q. Which fractions equal 13/21?

26/42, 39/63, 52/84, 65/105 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 13/21?

21/13, or 1 8/13 as a mixed number.