2/6 as a Decimal

2/6 as a decimal is 0.333…, the same as 1/3 or about 33.33%.

Result

Answer

\frac{2}{6} = \textcolor{#0b5c56}{0.\overline{3}}

2/6 as a decimal is 0.33333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 0.33
  • Rounded to 4 places: 0.3333
  • Percent: 33.3333%

33 of 100 squares ≈ 1/3

Step-by-step solution

The problem

\frac{2}{6}

  1. Divide 2 by 6 (long division). Write down how many times 6 goes in, carry the remainder, add a 0 and divide again. The remainder 2 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part2 ÷ 6026 × 0 = 0, 2 − 0 = 2
    Decimal place 120 ÷ 6326 × 3 = 18, 20 − 18 = 2

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

    = 2 \div 6 = \textcolor{#0b5c56}{0.\overline{3}}

All the working together

\begin{aligned} &\frac{2}{6} \\[8pt] &= 2 \div 6 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.\overline{3}}\end{aligned}

2/6 in other forms

Decimal0.333… (the 3 repeats forever)
Rounded0.33 (2 places), 0.333 (3 places)
Percent≈ 33.33%
Simplest form1/3
Equivalent fractions1/3, 3/9, 4/12, 5/15
The other way0.3 repeating as a fraction

Why it repeats

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

Fractions over 6 as decimals

FractionDecimalPercent
1/60.1666…≈ 16.67%
2/60.333…≈ 33.33%
3/60.550%
4/60.666…≈ 66.67%
5/60.8333…≈ 83.33%
7/61.1666…≈ 116.67%
8/61.333…≈ 133.33%
9/61.5150%
10/61.666…≈ 166.67%
11/61.8333…≈ 183.33%
13/62.1666…≈ 216.67%
14/62.333…≈ 233.33%
15/62.5250%
16/62.666…≈ 266.67%
17/62.8333…≈ 283.33%

Frequently asked questions

What is 2/6 as a decimal?

2/6 as a decimal is 0.333… (the 3 repeats forever). Divide 2 by 6 to get it.

What is 2/6 as a percent?

2/6 is ≈ 33.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 2/6 a terminating or a repeating decimal?

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

Is 2/6 the same as 1/3?

Yes. 2/6 simplifies to 1/3 (divide the top and bottom by 2), so both are 0.333….

More fractions as decimals

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