Fractions·10/13
10
13
=
0.(769230)

10/13 as a decimal is 0.(769230)

Repeating

10/13 is 0.(769230), or 76.(923076)%. 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.(769230)
Percent
76.(923076)%
Ratio
10 : 3
Repeating part
769230 (6)
Degrees of a circle
276.(923076)°
Minutes of an hour
46.(153846)
Reciprocal
13/10 = 1 3/10
Equivalent fractions
20/26, 30/39, 40/52, 50/65

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 10/13 as a decimal?

0.(769230). The 6 digits in brackets repeat for ever.

Q. What is 10/13 as a percentage?

76.(923076)%.

Q. Which fractions equal 10/13?

20/26, 30/39, 40/52, 50/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 10/13?

13/10, or 1 3/10 as a mixed number.