4/9 as a Decimal

4/9 as a decimal is 0.444…, with the 4 repeating forever (44.44% rounded).

Result

Answer

\frac{4}{9} = \textcolor{#0b5c56}{0.\overline{4}}

4/9 as a decimal is 0.44444444… – the digit 4 repeats forever.

  • Rounded to 2 places: 0.44
  • Rounded to 4 places: 0.4444
  • Percent: 44.4444%

44 of 100 squares ≈ 4/9

Step-by-step solution

The problem

\frac{4}{9}

  1. Divide 4 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 4 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part4 ÷ 9049 × 0 = 0, 4 − 0 = 4
    Decimal place 140 ÷ 9449 × 4 = 36, 40 − 36 = 4

  2. Read off the decimal. A bar over digits means they repeat forever.

    = 4 \div 9 = \textcolor{#0b5c56}{0.\overline{4}}

All the working together

\begin{aligned} &\frac{4}{9} \\[8pt] &= 4 \div 9 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.\overline{4}}\end{aligned}

4/9 in other forms

Decimal0.444… (the 4 repeats forever)
Rounded0.44 (2 places), 0.444 (3 places)
Percent≈ 44.44%
Equivalent fractions8/18, 12/27, 16/36, 20/45
The other way0.4 repeating as a fraction

Why it repeats

In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 4 repeats forever.

Fractions over 9 as decimals

FractionDecimalPercent
1/90.111…≈ 11.11%
2/90.222…≈ 22.22%
3/90.333…≈ 33.33%
4/90.444…≈ 44.44%
5/90.555…≈ 55.56%
6/90.666…≈ 66.67%
7/90.777…≈ 77.78%
8/90.888…≈ 88.89%
10/91.111…≈ 111.11%
11/91.222…≈ 122.22%
12/91.333…≈ 133.33%
13/91.444…≈ 144.44%
14/91.555…≈ 155.56%
15/91.666…≈ 166.67%
16/91.777…≈ 177.78%
17/91.888…≈ 188.89%
19/92.111…≈ 211.11%
20/92.222…≈ 222.22%
21/92.333…≈ 233.33%
22/92.444…≈ 244.44%
23/92.555…≈ 255.56%
24/92.666…≈ 266.67%
25/92.777…≈ 277.78%
26/92.888…≈ 288.89%

Frequently asked questions

What is 4/9 as a decimal?

4/9 as a decimal is 0.444… (the 4 repeats forever). Divide 4 by 9 to get it.

What is 4/9 as a percent?

4/9 is ≈ 44.44%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 4/9 a terminating or a repeating decimal?

Repeating – the 4 repeats forever. In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 4 repeats forever.

More fractions as decimals

Any other fraction: use the Fraction to Decimal Calculator, or see every fraction to sixteenths on the printable fraction chart.