1/11 as a Decimal
The fraction 1/11 converted to a decimal, with a step-by-step solution.
How to Convert 1/11 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 11
- 2
11 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. 11 goes into 10 0 times (0 × 11 = 0), remainder 10. (This is where the repeating block begins.)
10 ÷ 11 = 0, r 10
- 4
Bring down a 0 to make 100. 11 goes into 100 9 times (9 × 11 = 99), remainder 1. The remainder 1 has appeared before, so the digits from here on repeat forever.
100 ÷ 11 = 9, r 1
Is 1/11 a Terminating or Repeating Decimal?
1/11 is a repeating decimal. Written in full it is 0.(09) — the digits 09 repeat forever. The parentheses mark the repeating block.
1/11 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.1 |
| Nearest hundredth | 0.09 |
| Nearest thousandth | 0.091 |
1/11 as a Mixed Number
1/11 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 0.090909.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 11 = 0.090909
- 2
Multiply by 100 to get the percentage.
0.090909 × 100 = 9.090909%
Frequently Asked Questions
What is 1/11 as a decimal?
1/11 as a decimal is 0.090909. You get it by dividing the numerator 1 by the denominator 11.
Is 1/11 a terminating or repeating decimal?
1/11 is a repeating decimal. Written out it is 0.(09), where the digits 09 repeat forever.
What is 1/11 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/11 ≈ 0.091. To the nearest hundredth it is 0.09, and to the nearest tenth it is 0.1.
Is 1/11 a rational number?
Yes. 1/11 is a ratio of two integers (1 over 11), so it is a rational number — even though its decimal form repeats.