12/9 as a Decimal

12/9 as a decimal is 1.333…, the same as 4/3 or about 133.33%.

Result

Answer

\frac{12}{9} = \textcolor{#0b5c56}{1.\overline{3}}

12/9 as a decimal is 1.33333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 1.33
  • Rounded to 4 places: 1.3333
  • Percent: 133.3333%

1 whole + 1 of 3 equal parts

Step-by-step solution

The problem

\frac{12}{9}

  1. Divide 12 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 3 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part12 ÷ 9139 × 1 = 9, 12 − 9 = 3
    Decimal place 130 ÷ 9339 × 3 = 27, 30 − 27 = 3

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

    = 12 \div 9 = \textcolor{#0b5c56}{1.\overline{3}}

All the working together

\begin{aligned} &\frac{12}{9} \\[8pt] &= 12 \div 9 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.\overline{3}}\end{aligned}

12/9 in other forms

Decimal1.333… (the 3 repeats forever)
Rounded1.33 (2 places), 1.333 (3 places)
Percent≈ 133.33%
Simplest form4/3
Mixed number1 1/3
Equivalent fractions4/3, 8/6, 16/12, 20/15

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 9 as decimals

FractionDecimalPercent
1/90.111…≈ 11.11%
2/90.222…≈ 22.22%
3/90.333…≈ 33.33%
4/90.444…≈ 44.44%
5/90.555…≈ 55.56%
6/90.666…≈ 66.67%
7/90.777…≈ 77.78%
8/90.888…≈ 88.89%
10/91.111…≈ 111.11%
11/91.222…≈ 122.22%
12/91.333…≈ 133.33%
13/91.444…≈ 144.44%
14/91.555…≈ 155.56%
15/91.666…≈ 166.67%
16/91.777…≈ 177.78%
17/91.888…≈ 188.89%
19/92.111…≈ 211.11%
20/92.222…≈ 222.22%
21/92.333…≈ 233.33%
22/92.444…≈ 244.44%
23/92.555…≈ 255.56%
24/92.666…≈ 266.67%
25/92.777…≈ 277.78%
26/92.888…≈ 288.89%

Frequently asked questions

What is 12/9 as a decimal?

12/9 as a decimal is 1.333… (the 3 repeats forever). Divide 12 by 9 to get it.

What is 12/9 as a percent?

12/9 is ≈ 133.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 12/9 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 12/9 the same as 4/3?

Yes. 12/9 simplifies to 4/3 (divide the top and bottom by 3), so both are 1.333….

More fractions as decimals

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