2/12 as a Decimal

2/12 as a decimal is 0.1666…, the same as 1/6 or about 16.67%.

Result

Answer

\frac{2}{12} = \textcolor{#0b5c56}{0.1\overline{6}}

2/12 as a decimal is 0.166666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 0.17
  • Rounded to 4 places: 0.1667
  • Percent: 16.6667%

17 of 100 squares ≈ 1/6

Step-by-step solution

The problem

\frac{2}{12}

  1. Divide 2 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 2 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part2 ÷ 120212 × 0 = 0, 2 − 0 = 2
    Decimal place 120 ÷ 121812 × 1 = 12, 20 − 12 = 8
    Decimal place 280 ÷ 126812 × 6 = 72, 80 − 72 = 8

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

    = 2 \div 12 = \textcolor{#0b5c56}{0.1\overline{6}}

All the working together

\begin{aligned} &\frac{2}{12} \\[8pt] &= 2 \div 12 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.1\overline{6}}\end{aligned}

2/12 in other forms

Decimal0.1666… (the 6 repeats forever)
Rounded0.17 (2 places), 0.167 (3 places)
Percent≈ 16.67%
Simplest form1/6
Equivalent fractions1/6, 3/18, 4/24, 5/30

Why it repeats

In lowest terms the denominator is 6 = 2 × 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 2/12 as a decimal?

2/12 as a decimal is 0.1666… (the 6 repeats forever). Divide 2 by 12 to get it.

What is 2/12 as a percent?

2/12 is ≈ 16.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 2/12 a terminating or a repeating decimal?

Repeating – the 6 repeats forever. In lowest terms the denominator is 6 = 2 × 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 2/12 the same as 1/6?

Yes. 2/12 simplifies to 1/6 (divide the top and bottom by 2), so both are 0.1666….

More fractions as decimals

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