Fractions·2/3
2
3
=
0.(6)

2/3 as a decimal is 0.(6)

Repeating

2/3 is 0.(6), or 66.(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.(6)
Percent
66.(6)%
Ratio
2 : 1
Repeating part
6 (1)
Degrees of a circle
240°
Minutes of an hour
40
Reciprocal
3/2 = 1 1/2
Equivalent fractions
4/6, 6/9, 8/12, 10/15

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 2/3 as a decimal?

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

Q. What is 2/3 as a percentage?

66.(6)%.

Q. Which fractions equal 2/3?

4/6, 6/9, 8/12, 10/15 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 2/3?

3/2, or 1 1/2 as a mixed number.