Fractions·7/13
7
13
=
0.(538461)

7/13 as a decimal is 0.(538461)

Repeating

7/13 is 0.(538461), or 53.(846153)%. 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.(538461)
Percent
53.(846153)%
Ratio
7 : 6
Repeating part
538461 (6)
Degrees of a circle
193.(846153)°
Minutes of an hour
32.(307692)
Reciprocal
13/7 = 1 6/7
Equivalent fractions
14/26, 21/39, 28/52, 35/65

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 7/13 as a decimal?

0.(538461). The 6 digits in brackets repeat for ever.

Q. What is 7/13 as a percentage?

53.(846153)%.

Q. Which fractions equal 7/13?

14/26, 21/39, 28/52, 35/65 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 7/13?

13/7, or 1 6/7 as a mixed number.