Fractions·1/6
1
6
=
0.1(6)

1/6 as a decimal is 0.1(6)

Repeating

1/6 is 0.1(6), or 16.(6)%. It repeats with a period of 1 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
0.1(6)
Percent
16.(6)%
Ratio
1 : 5
Repeating part
6 (1)
Degrees of a circle
60°
Minutes of an hour
10
Reciprocal
6/1 = 6
Equivalent fractions
2/12, 3/18, 4/24, 5/30

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 1/6 as a decimal?

0.1(6). The 1 digits in brackets repeat for ever.

Q. What is 1/6 as a percentage?

16.(6)%.

Q. Which fractions equal 1/6?

2/12, 3/18, 4/24, 5/30 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 1/6?

6/1, or 6 as a mixed number.