9/12 as a Decimal

9/12 as a decimal is 0.75, the same as 3/4 or 75%.

Result

Answer

\frac{9}{12} = \textcolor{#0b5c56}{0.75}

9/12 as a decimal is 0.75.

  • Percent: 75%

75 of 100 squares ≈ 3/4

Step-by-step solution

The problem

\frac{9}{12}

  1. Divide 9 by 12 (long division). Write down how many times 12 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part9 ÷ 120912 × 0 = 0, 9 − 0 = 9
    Decimal place 190 ÷ 127612 × 7 = 84, 90 − 84 = 6
    Decimal place 260 ÷ 125012 × 5 = 60, 60 − 60 = 0

  2. Read off the decimal. The digits are read from the Digit column.

    = 9 \div 12 = \textcolor{#0b5c56}{0.75}

  3. Check with a shortcut. The denominator 4 can be made 100 by multiplying by 25, so the decimal ends after 2 places.

    \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 0.75

All the working together

\begin{aligned} &\frac{9}{12} \\[8pt] &= 9 \div 12 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.75}\end{aligned}

9/12 in other forms

Decimal0.75
Percent75%
Simplest form3/4
Equivalent fractions3/4, 6/8, 12/16, 15/20
The other way0.75 as a fraction

Why it ends

In lowest terms the denominator is 4 = 22. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

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 9/12 as a decimal?

9/12 as a decimal is 0.75. Divide 9 by 12 to get it.

What is 9/12 as a percent?

9/12 is 75%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 9/12 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 4 = 22. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

Is 9/12 the same as 3/4?

Yes. 9/12 simplifies to 3/4 (divide the top and bottom by 3), so both are 0.75.

More fractions as decimals

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