1/12 as a decimal
1/12 = 0.08(3) (0.083333…) inches = 2.1167 mm.
0.08(3)
1/12 of an inch — the bracketed digits repeat forever, so this form is exact where 0.083333… is not
Millimetres
2.1167 mm
Centimetres
0.21167 cm
Percent
8.3333%
Decimal
repeats
12 goes into 1 0 times with 1 left over, so write 0 and a decimal point. Then bring down a zero and divide again, one digit at a time.
| Step | Divide | Digit | Subtract | Remainder |
|---|---|---|---|---|
| 1 | 10 ÷ 12 | 0 | 10 − 0 | 10 |
| 2 | 100 ÷ 12 | 8 | 100 − 96 | 4 |
| 3 | 40 ÷ 12 | 3 | 40 − 36 | 4 |
Remainder 4 has come up before — it is what step 3 started from. From there the division can only produce the same digits again, so the digits from step 3 on repeat forever (shaded): 1/12 = 0.08(3).
Where 1/12 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 1/16 | nearest |
| 1/32 | 3/32 | nearest |
| 1/64 | 5/64 | nearest |
Mixed numbers with 1/12
A whole number of inches plus 1/12: the whole number goes in front of the decimal point and 1/12 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 1/12 | 1.08(3) | 27.5167 |
| 2 1/12 | 2.08(3) | 52.9167 |
| 3 1/12 | 3.08(3) | 78.3167 |
| 4 1/12 | 4.08(3) | 103.7167 |
| 5 1/12 | 5.08(3) | 129.1167 |
| 6 1/12 | 6.08(3) | 154.5167 |
| 7 1/12 | 7.08(3) | 179.9167 |
| 8 1/12 | 8.08(3) | 205.3167 |
| 9 1/12 | 9.08(3) | 230.7167 |
| 10 1/12 | 10.08(3) | 256.1167 |
| 11 1/12 | 11.08(3) | 281.5167 |
| 12 1/12 | 12.08(3) | 306.9167 |
Converting 1/12 to a decimal
A fraction is a division. 1/12 = 1 ÷ 12 = 0.08(3) (0.083333…). The decimal repeats forever, written 0.08(3) with the repeating digits bracketed. That happens because 12 factors into 2 × 2 × 3, which includes a prime other than 2 or 5 — so no power of ten is divisible by it and the long division never terminates.
In metric that is 2.1167 millimetres (0.21167 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 8.3333%.
1/12 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 12 is not one. The nearest marks are 1/16 on a 1/16 rule, 3/32 on a 1/32 rule, 5/64 on a 1/64 rule, none of them exact.
Going the other way
To turn 0.083333 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.083333 × 16 = 1.3333, giving 1/16 after rounding to the nearest mark. At 1/32: 0.083333 × 32 = 2.6667, giving 3/32 after rounding to the nearest mark. At 1/64: 0.083333 × 64 = 5.3333, giving 5/64 after rounding to the nearest mark.
What is 1/12 as a decimal?
1/12 as a decimal is 0.08(3) (0.083333…). Divide the numerator by the denominator: 1 ÷ 12 = 0.08(3) (0.083333…). The division never comes out exactly, so the digits repeat.
What is 2 1/12 as a decimal?
2 1/12 as a decimal is 2.08(3). The whole number stays in front of the decimal point and 1/12 supplies the digits after it, so 2 1/12 = 2 + 0.08(3). In millimetres that is 52.9167 mm. This page's mixed-numbers table runs from 1 1/12 to 12 1/12.
What is 1/12 as a percent?
1/12 as a percent is about 8.3333%. Its decimal repeats, so the percentage does too; it is rounded here to four decimal places.
What is 0.08(3) (0.083333…) as a fraction?
0.083333… as a fraction is 1/12, in lowest terms.
How many millimetres is 1/12 of an inch?
1/12 of an inch is 2.1167 mm, or 0.21167 cm. An inch has been defined as exactly 25.4 mm since 1959, so this conversion is a definition rather than a measurement.
Where is 1/12 on a tape measure?
1/12 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 12 is not one. The nearest marks are 1/16 on a 1/16 rule, 3/32 on a 1/32 rule, 5/64 on a 1/64 rule, none of them exact.