1/12 as a Decimal

1/12 as a decimal is 0.08333…, with the 3 repeating forever (8.33% rounded).

Result

Answer

\frac{1}{12} = \textcolor{#0b5c56}{0.08\overline{3}}

1/12 as a decimal is 0.0833333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 0.08
  • Rounded to 4 places: 0.0833
  • Percent: 8.3333%

8 of 100 squares ≈ 1/12

Step-by-step solution

The problem

\frac{1}{12}

  1. Divide 1 by 12 (long division). Write down how many times 12 goes in, carry the remainder, add a 0 and divide again. The remainder 4 came back, so the digits from decimal place 3 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part1 ÷ 120112 × 0 = 0, 1 − 0 = 1
    Decimal place 110 ÷ 1201012 × 0 = 0, 10 − 0 = 10
    Decimal place 2100 ÷ 128412 × 8 = 96, 100 − 96 = 4
    Decimal place 340 ÷ 123412 × 3 = 36, 40 − 36 = 4

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

    = 1 \div 12 = \textcolor{#0b5c56}{0.08\overline{3}}

All the working together

\begin{aligned} &\frac{1}{12} \\[8pt] &= 1 \div 12 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.08\overline{3}}\end{aligned}

1/12 in other forms

Decimal0.08333… (the 3 repeats forever)
Rounded0.08 (2 places), 0.083 (3 places)
Percent≈ 8.33%
Equivalent fractions2/24, 3/36, 4/48, 5/60

Why it repeats

In lowest terms the denominator is 12 = 22 × 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 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 1/12 as a decimal?

1/12 as a decimal is 0.08333… (the 3 repeats forever). Divide 1 by 12 to get it.

What is 1/12 as a percent?

1/12 is ≈ 8.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 1/12 a terminating or a repeating decimal?

Repeating – the 3 repeats forever. In lowest terms the denominator is 12 = 22 × 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.

More fractions as decimals

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