7/12 as a decimal
7/12 = 0.58(3) (0.583333…) inches = 14.8167 mm.
0.58(3)
7/12 of an inch — the bracketed digits repeat forever, so this form is exact where 0.583333… is not
Millimetres
14.8167 mm
Centimetres
1.48167 cm
Percent
58.3333%
Decimal
repeats
12 goes into 7 0 times with 7 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 | 70 ÷ 12 | 5 | 70 − 60 | 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): 7/12 = 0.58(3).
Where 7/12 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 9/16 | nearest |
| 1/32 | 19/32 | nearest |
| 1/64 | 37/64 | nearest |
Mixed numbers with 7/12
A whole number of inches plus 7/12: the whole number goes in front of the decimal point and 7/12 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 7/12 | 1.58(3) | 40.2167 |
| 2 7/12 | 2.58(3) | 65.6167 |
| 3 7/12 | 3.58(3) | 91.0167 |
| 4 7/12 | 4.58(3) | 116.4167 |
| 5 7/12 | 5.58(3) | 141.8167 |
| 6 7/12 | 6.58(3) | 167.2167 |
| 7 7/12 | 7.58(3) | 192.6167 |
| 8 7/12 | 8.58(3) | 218.0167 |
| 9 7/12 | 9.58(3) | 243.4167 |
| 10 7/12 | 10.58(3) | 268.8167 |
| 11 7/12 | 11.58(3) | 294.2167 |
| 12 7/12 | 12.58(3) | 319.6167 |
Converting 7/12 to a decimal
A fraction is a division. 7/12 = 7 ÷ 12 = 0.58(3) (0.583333…). The decimal repeats forever, written 0.58(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 14.8167 millimetres (1.48167 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 58.3333%.
7/12 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 9/16 on a 1/16 rule, 19/32 on a 1/32 rule, 37/64 on a 1/64 rule, none of them exact.
Going the other way
To turn 0.583333 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.583333 × 16 = 9.3333, giving 9/16 after rounding to the nearest mark. At 1/32: 0.583333 × 32 = 18.6667, giving 19/32 after rounding to the nearest mark. At 1/64: 0.583333 × 64 = 37.3333, giving 37/64 after rounding to the nearest mark.
What is 7/12 as a decimal?
7/12 as a decimal is 0.58(3) (0.583333…). Divide the numerator by the denominator: 7 ÷ 12 = 0.58(3) (0.583333…). The division never comes out exactly, so the digits repeat.
What is 2 7/12 as a decimal?
2 7/12 as a decimal is 2.58(3). The whole number stays in front of the decimal point and 7/12 supplies the digits after it, so 2 7/12 = 2 + 0.58(3). In millimetres that is 65.6167 mm. This page's mixed-numbers table runs from 1 7/12 to 12 7/12.
What is 7/12 as a percent?
7/12 as a percent is about 58.3333%. Its decimal repeats, so the percentage does too; it is rounded here to four decimal places.
What is 0.58(3) (0.583333…) as a fraction?
0.583333… as a fraction is 7/12, in lowest terms.
How many millimetres is 7/12 of an inch?
7/12 of an inch is 14.8167 mm, or 1.48167 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 7/12 on a tape measure?
7/12 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 9/16 on a 1/16 rule, 19/32 on a 1/32 rule, 37/64 on a 1/64 rule, none of them exact.