1/12 as a Decimal
The fraction 1/12 converted to a decimal, with a step-by-step solution.
How to Convert 1/12 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
1 ÷ 12
- 2
12 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. 12 goes into 10 0 times (0 × 12 = 0), remainder 10.
10 ÷ 12 = 0, r 10
- 4
Bring down a 0 to make 100. 12 goes into 100 8 times (8 × 12 = 96), remainder 4.
100 ÷ 12 = 8, r 4
- 5
Bring down a 0 to make 40. 12 goes into 40 3 times (3 × 12 = 36), remainder 4. (This is where the repeating block begins.) The remainder 4 has appeared before, so the digits from here on repeat forever.
40 ÷ 12 = 3, r 4
Is 1/12 a Terminating or Repeating Decimal?
1/12 is a repeating decimal. Written in full it is 0.08(3) — the digit 3 repeats forever. The parentheses mark the repeating block.
1/12 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.1 |
| Nearest hundredth | 0.08 |
| Nearest thousandth | 0.083 |
1/12 as a Mixed Number
1/12 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 0.083333.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
1 ÷ 12 = 0.083333
- 2
Multiply by 100 to get the percentage.
0.083333 × 100 = 8.333333%
Frequently Asked Questions
What is 1/12 as a decimal?
1/12 as a decimal is 0.083333. You get it by dividing the numerator 1 by the denominator 12.
Is 1/12 a terminating or repeating decimal?
1/12 is a repeating decimal. Written out it is 0.08(3), where the digit 3 repeats forever.
What is 1/12 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 1/12 ≈ 0.083. To the nearest hundredth it is 0.08, and to the nearest tenth it is 0.1.
Is 1/12 a rational number?
Yes. 1/12 is a ratio of two integers (1 over 12), so it is a rational number — even though its decimal form repeats.