Fractions·13/22
13
22
=
0.5(90)

13/22 as a decimal is 0.5(90)

Repeating

13/22 is 0.5(90), or 59.(09)%. It repeats with a period of 2 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
0.5(90)
Percent
59.(09)%
Ratio
13 : 9
Repeating part
90 (2)
Degrees of a circle
212.(72)°
Minutes of an hour
35.(45)
Reciprocal
22/13 = 1 9/13
Equivalent fractions
26/44, 39/66, 52/88, 65/110

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 13/22 as a decimal?

0.5(90). The 2 digits in brackets repeat for ever.

Q. What is 13/22 as a percentage?

59.(09)%.

Q. Which fractions equal 13/22?

26/44, 39/66, 52/88, 65/110 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 13/22?

22/13, or 1 9/13 as a mixed number.