17/9 as a Decimal

17/9 as a decimal is 1.888…, the same as 1 8/9 or about 188.89%.

Result

Answer

\frac{17}{9} = \textcolor{#0b5c56}{1.\overline{8}}

17/9 as a decimal is 1.88888888… – the digit 8 repeats forever.

  • Rounded to 2 places: 1.89
  • Rounded to 4 places: 1.8889
  • Percent: 188.8889%

1 whole + 8 of 9 equal parts

Step-by-step solution

The problem

\frac{17}{9}

  1. Divide 17 by 9 (long division). Write down how many times 9 goes in, carry the remainder, add a 0 and divide again. The remainder 8 came back, so the digits from decimal place 1 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part17 ÷ 9189 × 1 = 9, 17 − 9 = 8
    Decimal place 180 ÷ 9889 × 8 = 72, 80 − 72 = 8

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

    = 17 \div 9 = \textcolor{#0b5c56}{1.\overline{8}}

All the working together

\begin{aligned} &\frac{17}{9} \\[8pt] &= 17 \div 9 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.\overline{8}}\end{aligned}

17/9 in other forms

Decimal1.888… (the 8 repeats forever)
Rounded1.89 (2 places), 1.889 (3 places)
Percent≈ 188.89%
Mixed number1 8/9
Equivalent fractions34/18, 51/27, 68/36, 85/45

Why it repeats

In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 8 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 17/9 as a decimal?

17/9 as a decimal is 1.888… (the 8 repeats forever). Divide 17 by 9 to get it.

What is 17/9 as a percent?

17/9 is ≈ 188.89%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 17/9 a terminating or a repeating decimal?

Repeating – the 8 repeats forever. In lowest terms the denominator is 9 = 32. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 8 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.