3
22
0.1(36)
3/22 as a decimal is 0.1(36)
Repeating
3/22 is 0.1(36), or 13.(63)%. It repeats with a period of 2 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(36)
- Percent
- 13.(63)%
- Ratio
- 3 : 19
- Repeating part
- 36 (2)
- Degrees of a circle
- 49.(09)°
- Minutes of an hour
- 8.(18)
- Reciprocal
- 22/3 = 7 1/3
- Equivalent fractions
- 6/44, 9/66, 12/88, 15/110
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 3/22 as a decimal?
0.1(36). The 2 digits in brackets repeat for ever.
Q. What is 3/22 as a percentage?
13.(63)%.
Q. Which fractions equal 3/22?
6/44, 9/66, 12/88, 15/110 … multiplying top and bottom by the same number leaves the value unchanged.
Q. What is the reciprocal of 3/22?
22/3, or 7 1/3 as a mixed number.