8/12 as a Decimal

8/12 as a decimal is 0.666…, the same as 2/3 or about 66.67%.

Result

Answer

\frac{8}{12} = \textcolor{#0b5c56}{0.\overline{6}}

8/12 as a decimal is 0.66666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 0.67
  • Rounded to 4 places: 0.6667
  • Percent: 66.6667%

67 of 100 squares ≈ 2/3

Step-by-step solution

The problem

\frac{8}{12}

  1. Divide 8 by 12 (long division). Write down how many times 12 goes in, carry the remainder, add a 0 and divide again. The remainder 8 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part8 ÷ 120812 × 0 = 0, 8 − 0 = 8
    Decimal place 180 ÷ 126812 × 6 = 72, 80 − 72 = 8

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

    = 8 \div 12 = \textcolor{#0b5c56}{0.\overline{6}}

All the working together

\begin{aligned} &\frac{8}{12} \\[8pt] &= 8 \div 12 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.\overline{6}}\end{aligned}

8/12 in other forms

Decimal0.666… (the 6 repeats forever)
Rounded0.67 (2 places), 0.667 (3 places)
Percent≈ 66.67%
Simplest form2/3
Equivalent fractions2/3, 4/6, 6/9, 10/15
The other way0.6 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 6 repeats forever.

Fractions over 12 as decimals

FractionDecimalPercent
1/120.08333…≈ 8.33%
2/120.1666…≈ 16.67%
3/120.2525%
4/120.333…≈ 33.33%
5/120.41666…≈ 41.67%
6/120.550%
7/120.58333…≈ 58.33%
8/120.666…≈ 66.67%
9/120.7575%
10/120.8333…≈ 83.33%
11/120.91666…≈ 91.67%

Frequently asked questions

What is 8/12 as a decimal?

8/12 as a decimal is 0.666… (the 6 repeats forever). Divide 8 by 12 to get it.

What is 8/12 as a percent?

8/12 is ≈ 66.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 8/12 a terminating or a repeating decimal?

Repeating – the 6 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 6 repeats forever.

Is 8/12 the same as 2/3?

Yes. 8/12 simplifies to 2/3 (divide the top and bottom by 4), so both are 0.666….

More fractions as decimals

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