Fractions·4/9
4
9
=
0.(4)

4/9 as a decimal is 0.(4)

Repeating

4/9 is 0.(4), or 44.(4)%. 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.(4)
Percent
44.(4)%
Ratio
4 : 5
Repeating part
4 (1)
Degrees of a circle
160°
Minutes of an hour
26.(6)
Reciprocal
9/4 = 2 1/4
Equivalent fractions
8/18, 12/27, 16/36, 20/45

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 4/9 as a decimal?

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

Q. What is 4/9 as a percentage?

44.(4)%.

Q. Which fractions equal 4/9?

8/18, 12/27, 16/36, 20/45 … multiplying top and bottom by the same number leaves the value unchanged.

Q. What is the reciprocal of 4/9?

9/4, or 2 1/4 as a mixed number.