1/9 as a Decimal
The fraction 1/9 converted to a decimal, with a step-by-step solution.
How to Convert 1/9 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 9
- 2
9 does not go into 1, so the whole-number part is 0. Write "0." and continue with a remainder of 1.
0 . …
- 3
Bring down a 0 to make 10. 9 goes into 10 1 time (1 × 9 = 9), remainder 1. (This is where the repeating block begins.) The remainder 1 has appeared before, so the digits from here on repeat forever.
10 ÷ 9 = 1, r 1
Is 1/9 a Terminating or Repeating Decimal?
1/9 is a repeating decimal. Written in full it is 0.(1) — the digit 1 repeats forever. The parentheses mark the repeating block.
1/9 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.1 |
| Nearest hundredth | 0.11 |
| Nearest thousandth | 0.111 |
1/9 as a Mixed Number
1/9 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.111111.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 9 = 0.111111
- 2
Multiply by 100 to get the percentage.
0.111111 × 100 = 11.111111%
Frequently Asked Questions
What is 1/9 as a decimal?
1/9 as a decimal is 0.111111. You get it by dividing the numerator 1 by the denominator 9.
Is 1/9 a terminating or repeating decimal?
1/9 is a repeating decimal. Written out it is 0.(1), where the digit 1 repeats forever.
What is 1/9 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/9 ≈ 0.111. To the nearest hundredth it is 0.11, and to the nearest tenth it is 0.1.
Is 1/9 a rational number?
Yes. 1/9 is a ratio of two integers (1 over 9), so it is a rational number — even though its decimal form repeats.