12/15 as a Decimal

12/15 as a decimal is 0.8, the same as 4/5 or 80%.

Result

Answer

\frac{12}{15} = \textcolor{#0b5c56}{0.8}

12/15 as a decimal is 0.8.

  • Percent: 80%

80 of 100 squares ≈ 4/5

Step-by-step solution

The problem

\frac{12}{15}

  1. Divide 12 by 15 (long division). Write down how many times 15 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part12 ÷ 1501215 × 0 = 0, 12 − 0 = 12
    Decimal place 1120 ÷ 158015 × 8 = 120, 120 − 120 = 0

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

    = 12 \div 15 = \textcolor{#0b5c56}{0.8}

  3. Check with a shortcut. The denominator 5 can be made 10 by multiplying by 2, so the decimal ends after 1 place.

    \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} = 0.8

All the working together

\begin{aligned} &\frac{12}{15} \\[8pt] &= 12 \div 15 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.8}\end{aligned}

12/15 in other forms

Decimal0.8
Percent80%
Simplest form4/5
Equivalent fractions4/5, 8/10, 16/20, 20/25
The other way0.8 as a fraction

Why it ends

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

Fractions over 15 as decimals

FractionDecimalPercent
1/150.0666…≈ 6.67%
2/150.1333…≈ 13.33%
3/150.220%
4/150.2666…≈ 26.67%
5/150.333…≈ 33.33%
6/150.440%
7/150.4666…≈ 46.67%
8/150.5333…≈ 53.33%
9/150.660%
10/150.666…≈ 66.67%
11/150.7333…≈ 73.33%
12/150.880%
13/150.8666…≈ 86.67%
14/150.9333…≈ 93.33%

Frequently asked questions

What is 12/15 as a decimal?

12/15 as a decimal is 0.8. Divide 12 by 15 to get it.

What is 12/15 as a percent?

12/15 is 80%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 12/15 a terminating or a repeating decimal?

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

Is 12/15 the same as 4/5?

Yes. 12/15 simplifies to 4/5 (divide the top and bottom by 3), so both are 0.8.

More fractions as decimals

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