15/9 as a Decimal

15/9 as a decimal is 1.666…, the same as 5/3 or about 166.67%.

Result

Answer

\frac{15}{9} = \textcolor{#0b5c56}{1.\overline{6}}

15/9 as a decimal is 1.66666666… – the digit 6 repeats forever.

  • Rounded to 2 places: 1.67
  • Rounded to 4 places: 1.6667
  • Percent: 166.6667%

1 whole + 2 of 3 equal parts

Step-by-step solution

The problem

\frac{15}{9}

  1. Divide 15 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 6 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part15 ÷ 9169 × 1 = 9, 15 − 9 = 6
    Decimal place 160 ÷ 9669 × 6 = 54, 60 − 54 = 6

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

    = 15 \div 9 = \textcolor{#0b5c56}{1.\overline{6}}

All the working together

\begin{aligned} &\frac{15}{9} \\[8pt] &= 15 \div 9 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.\overline{6}}\end{aligned}

15/9 in other forms

Decimal1.666… (the 6 repeats forever)
Rounded1.67 (2 places), 1.667 (3 places)
Percent≈ 166.67%
Simplest form5/3
Mixed number1 2/3
Equivalent fractions5/3, 10/6, 20/12, 25/15

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 6 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 15/9 as a decimal?

15/9 as a decimal is 1.666… (the 6 repeats forever). Divide 15 by 9 to get it.

What is 15/9 as a percent?

15/9 is ≈ 166.67%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 15/9 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 15/9 the same as 5/3?

Yes. 15/9 simplifies to 5/3 (divide the top and bottom by 3), so both are 1.666….

More fractions as decimals

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