2/15 as a Decimal

2/15 as a decimal is 0.1333…, with the 3 repeating forever (13.33% rounded).

Result

Answer

\frac{2}{15} = \textcolor{#0b5c56}{0.1\overline{3}}

2/15 as a decimal is 0.133333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 0.13
  • Rounded to 4 places: 0.1333
  • Percent: 13.3333%

13 of 100 squares ≈ 2/15

Step-by-step solution

The problem

\frac{2}{15}

  1. Divide 2 by 15 (long division). Write down how many times 15 goes in, carry the remainder, add a 0 and divide again. The remainder 5 came back, so the digits from decimal place 2 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part2 ÷ 150215 × 0 = 0, 2 − 0 = 2
    Decimal place 120 ÷ 151515 × 1 = 15, 20 − 15 = 5
    Decimal place 250 ÷ 153515 × 3 = 45, 50 − 45 = 5

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

    = 2 \div 15 = \textcolor{#0b5c56}{0.1\overline{3}}

All the working together

\begin{aligned} &\frac{2}{15} \\[8pt] &= 2 \div 15 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.1\overline{3}}\end{aligned}

2/15 in other forms

Decimal0.1333… (the 3 repeats forever)
Rounded0.13 (2 places), 0.133 (3 places)
Percent≈ 13.33%
Equivalent fractions4/30, 6/45, 8/60, 10/75

Why it repeats

In lowest terms the denominator is 15 = 3 × 5. 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 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 2/15 as a decimal?

2/15 as a decimal is 0.1333… (the 3 repeats forever). Divide 2 by 15 to get it.

What is 2/15 as a percent?

2/15 is ≈ 13.33%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 2/15 a terminating or a repeating decimal?

Repeating – the 3 repeats forever. In lowest terms the denominator is 15 = 3 × 5. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 3 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.