Fractions·9/22
9
22
=
0.4(09)

9/22 as a decimal is 0.4(09)

Repeating

9/22 is 0.4(09), or 40.(90)%. 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
0.4(09)
Percent
40.(90)%
Ratio
9 : 13
Repeating part
09 (2)
Degrees of a circle
147.(27)°
Minutes of an hour
24.(54)
Reciprocal
22/9 = 2 4/9
Equivalent fractions
18/44, 27/66, 36/88, 45/110

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 9/22 as a decimal?

0.4(09). The 2 digits in brackets repeat for ever.

Q. What is 9/22 as a percentage?

40.(90)%.

Q. Which fractions equal 9/22?

18/44, 27/66, 36/88, 45/110 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 9/22?

22/9, or 2 4/9 as a mixed number.