10/15 as a Decimal

10/15 as a decimal is 0.666…, the same as 2/3 or about 66.67%.

Result

Answer

\frac{10}{15} = \textcolor{#0b5c56}{0.\overline{6}}

10/15 as a decimal is 0.66666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 0.67
  • Rounded to 4 places: 0.6667
  • Percent: 66.6667%

67 of 100 squares ≈ 2/3

Step-by-step solution

The problem

\frac{10}{15}

  1. Divide 10 by 15 (long division). Write down how many times 15 goes in, carry the remainder, add a 0 and divide again. The remainder 10 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part10 ÷ 1501015 × 0 = 0, 10 − 0 = 10
    Decimal place 1100 ÷ 1561015 × 6 = 90, 100 − 90 = 10

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

    = 10 \div 15 = \textcolor{#0b5c56}{0.\overline{6}}

All the working together

\begin{aligned} &\frac{10}{15} \\[8pt] &= 10 \div 15 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.\overline{6}}\end{aligned}

10/15 in other forms

Decimal0.666… (the 6 repeats forever)
Rounded0.67 (2 places), 0.667 (3 places)
Percent≈ 66.67%
Simplest form2/3
Equivalent fractions2/3, 4/6, 6/9, 8/12
The other way0.6 repeating as a fraction

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 6 repeats forever.

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 10/15 as a decimal?

10/15 as a decimal is 0.666… (the 6 repeats forever). Divide 10 by 15 to get it.

What is 10/15 as a percent?

10/15 is ≈ 66.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 10/15 a terminating or a repeating decimal?

Repeating – the 6 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 6 repeats forever.

Is 10/15 the same as 2/3?

Yes. 10/15 simplifies to 2/3 (divide the top and bottom by 5), so both are 0.666….

More fractions as decimals

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