Fractions·13/23
13
23
=
0.(5652173913043478260869)

13/23 as a decimal is 0.(5652173913043478260869)

Repeating

13/23 is 0.(5652173913043478260869), or 56.(5217391304347826086956)%. It repeats with a period of 22 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.(5652173913043478260869)
Percent
56.(5217391304347826086956)%
Ratio
13 : 10
Repeating part
5652173913043478260869 (22)
Degrees of a circle
203.(4782608695652173913043)°
Minutes of an hour
33.(9130434782608695652173)
Reciprocal
23/13 = 1 10/13
Equivalent fractions
26/46, 39/69, 52/92, 65/115

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 13/23 as a decimal?

0.(5652173913043478260869). The 22 digits in brackets repeat for ever.

Q. What is 13/23 as a percentage?

56.(5217391304347826086956)%.

Q. Which fractions equal 13/23?

26/46, 39/69, 52/92, 65/115 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 13/23?

23/13, or 1 10/13 as a mixed number.