5/9 as a Decimal

5/9 as a decimal is 0.555…, with the 5 repeating forever (55.56% rounded).

Result

Answer

\frac{5}{9} = \textcolor{#0b5c56}{0.\overline{5}}

5/9 as a decimal is 0.55555555… – the digit 5 repeats forever.

  • Rounded to 2 places: 0.56
  • Rounded to 4 places: 0.5556
  • Percent: 55.5556%

56 of 100 squares ≈ 5/9

Step-by-step solution

The problem

\frac{5}{9}

  1. Divide 5 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 5 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part5 ÷ 9059 × 0 = 0, 5 − 0 = 5
    Decimal place 150 ÷ 9559 × 5 = 45, 50 − 45 = 5

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

    = 5 \div 9 = \textcolor{#0b5c56}{0.\overline{5}}

All the working together

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

5/9 in other forms

Decimal0.555… (the 5 repeats forever)
Rounded0.56 (2 places), 0.556 (3 places)
Percent≈ 55.56%
Equivalent fractions10/18, 15/27, 20/36, 25/45
The other way0.5 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 5 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 5/9 as a decimal?

5/9 as a decimal is 0.555… (the 5 repeats forever). Divide 5 by 9 to get it.

What is 5/9 as a percent?

5/9 is ≈ 55.56%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 5/9 a terminating or a repeating decimal?

Repeating – the 5 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 5 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.