5/12 as a decimal
5/12 = 0.41(6) (0.416667…) inches = 10.5833 mm.
0.41(6)
5/12 of an inch — the bracketed digits repeat forever, so this form is exact where 0.416667… is not
Millimetres
10.5833 mm
Centimetres
1.05833 cm
Percent
41.6667%
Decimal
repeats
12 goes into 5 0 times with 5 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 | 50 ÷ 12 | 4 | 50 − 48 | 2 |
| 2 | 20 ÷ 12 | 1 | 20 − 12 | 8 |
| 3 | 80 ÷ 12 | 6 | 80 − 72 | 8 |
Remainder 8 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): 5/12 = 0.41(6).
Where 5/12 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 7/16 | nearest |
| 1/32 | 13/32 | nearest |
| 1/64 | 27/64 | nearest |
Mixed numbers with 5/12
A whole number of inches plus 5/12: the whole number goes in front of the decimal point and 5/12 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 5/12 | 1.41(6) | 35.9833 |
| 2 5/12 | 2.41(6) | 61.3833 |
| 3 5/12 | 3.41(6) | 86.7833 |
| 4 5/12 | 4.41(6) | 112.1833 |
| 5 5/12 | 5.41(6) | 137.5833 |
| 6 5/12 | 6.41(6) | 162.9833 |
| 7 5/12 | 7.41(6) | 188.3833 |
| 8 5/12 | 8.41(6) | 213.7833 |
| 9 5/12 | 9.41(6) | 239.1833 |
| 10 5/12 | 10.41(6) | 264.5833 |
| 11 5/12 | 11.41(6) | 289.9833 |
| 12 5/12 | 12.41(6) | 315.3833 |
Converting 5/12 to a decimal
A fraction is a division. 5/12 = 5 ÷ 12 = 0.41(6) (0.416667…). The decimal repeats forever, written 0.41(6) 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 10.5833 millimetres (1.05833 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 41.6667%.
5/12 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 7/16 on a 1/16 rule, 13/32 on a 1/32 rule, 27/64 on a 1/64 rule, none of them exact.
Going the other way
To turn 0.416667 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.416667 × 16 = 6.6667, giving 7/16 after rounding to the nearest mark. At 1/32: 0.416667 × 32 = 13.3333, giving 13/32 after rounding to the nearest mark. At 1/64: 0.416667 × 64 = 26.6667, giving 27/64 after rounding to the nearest mark.
What is 5/12 as a decimal?
5/12 as a decimal is 0.41(6) (0.416667…). Divide the numerator by the denominator: 5 ÷ 12 = 0.41(6) (0.416667…). The division never comes out exactly, so the digits repeat.
What is 2 5/12 as a decimal?
2 5/12 as a decimal is 2.41(6). The whole number stays in front of the decimal point and 5/12 supplies the digits after it, so 2 5/12 = 2 + 0.41(6). In millimetres that is 61.3833 mm. This page's mixed-numbers table runs from 1 5/12 to 12 5/12.
What is 5/12 as a percent?
5/12 as a percent is about 41.6667%. Its decimal repeats, so the percentage does too; it is rounded here to four decimal places.
What is 0.41(6) (0.416667…) as a fraction?
0.416667… as a fraction is 5/12, in lowest terms.
How many millimetres is 5/12 of an inch?
5/12 of an inch is 10.5833 mm, or 1.05833 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 5/12 on a tape measure?
5/12 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 7/16 on a 1/16 rule, 13/32 on a 1/32 rule, 27/64 on a 1/64 rule, none of them exact.