11/12 as a Decimal

11/12 as a decimal is 0.91666…, with the 6 repeating forever (91.67% rounded).

Result

Answer

\frac{11}{12} = \textcolor{#0b5c56}{0.91\overline{6}}

11/12 as a decimal is 0.9166666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 0.92
  • Rounded to 4 places: 0.9167
  • Percent: 91.6667%

92 of 100 squares ≈ 11/12

Step-by-step solution

The problem

\frac{11}{12}

  1. Divide 11 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 3 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part11 ÷ 1201112 × 0 = 0, 11 − 0 = 11
    Decimal place 1110 ÷ 129212 × 9 = 108, 110 − 108 = 2
    Decimal place 220 ÷ 121812 × 1 = 12, 20 − 12 = 8
    Decimal place 380 ÷ 126812 × 6 = 72, 80 − 72 = 8

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

    = 11 \div 12 = \textcolor{#0b5c56}{0.91\overline{6}}

All the working together

\begin{aligned} &\frac{11}{12} \\[8pt] &= 11 \div 12 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.91\overline{6}}\end{aligned}

11/12 in other forms

Decimal0.91666… (the 6 repeats forever)
Rounded0.92 (2 places), 0.917 (3 places)
Percent≈ 91.67%
Equivalent fractions22/24, 33/36, 44/48, 55/60

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 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 11/12 as a decimal?

11/12 as a decimal is 0.91666… (the 6 repeats forever). Divide 11 by 12 to get it.

What is 11/12 as a percent?

11/12 is ≈ 91.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 11/12 a terminating or a repeating decimal?

Repeating – the 6 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 6 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.