27/64 as a decimal
27/64 = 0.421875 inches = 10.7156 mm.
0.421875
27/64 of an inch
Millimetres
10.7156 mm
Centimetres
1.07156 cm
Percent
42.1875%
Decimal
terminates
64 goes into 27 0 times with 27 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 | 270 ÷ 64 | 4 | 270 − 256 | 14 |
| 2 | 140 ÷ 64 | 2 | 140 − 128 | 12 |
| 3 | 120 ÷ 64 | 1 | 120 − 64 | 56 |
| 4 | 560 ÷ 64 | 8 | 560 − 512 | 48 |
| 5 | 480 ÷ 64 | 7 | 480 − 448 | 32 |
| 6 | 320 ÷ 64 | 5 | 320 − 320 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 27/64 = 0.421875 exactly.
Where 27/64 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 7/16 | nearest |
| 1/32 | 7/16 | nearest |
| 1/64 | 27/64 | exact |
Mixed numbers with 27/64
A whole number of inches plus 27/64: the whole number goes in front of the decimal point and 27/64 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 27/64 | 1.421875 | 36.1156 |
| 2 27/64 | 2.421875 | 61.5156 |
| 3 27/64 | 3.421875 | 86.9156 |
| 4 27/64 | 4.421875 | 112.3156 |
| 5 27/64 | 5.421875 | 137.7156 |
| 6 27/64 | 6.421875 | 163.1156 |
| 7 27/64 | 7.421875 | 188.5156 |
| 8 27/64 | 8.421875 | 213.9156 |
| 9 27/64 | 9.421875 | 239.3156 |
| 10 27/64 | 10.421875 | 264.7156 |
| 11 27/64 | 11.421875 | 290.1156 |
| 12 27/64 | 12.421875 | 315.5156 |
Converting 27/64 to a decimal
A fraction is a division. 27/64 = 27 ÷ 64 = 0.421875. The decimal terminates because 64 factors into 2 × 2 × 2 × 2 × 2 × 2 — only 2s and 5s, the factors of ten. Any fraction whose denominator is built from those has an exact decimal.
In metric that is 10.7156 millimetres (1.07156 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 42.1875%.
27/64 is a real mark on a rule: it is the 27/64 mark on a 1/64 rule.
Going the other way
To turn 0.421875 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.421875 × 16 = 6.75, giving 7/16 after rounding to the nearest mark. At 1/32: 0.421875 × 32 = 13.5, giving 7/16 after rounding to the nearest mark. At 1/64: 0.421875 × 64 = 27, giving 27/64 exactly.
What is 27/64 as a decimal?
27/64 as a decimal is 0.421875. Divide the numerator by the denominator: 27 ÷ 64 = 0.421875. The division comes out exactly, with no remainder left over.
What is 2 27/64 as a decimal?
2 27/64 as a decimal is 2.421875. The whole number stays in front of the decimal point and 27/64 supplies the digits after it, so 2 27/64 = 2 + 0.421875. In millimetres that is 61.5156 mm. This page's mixed-numbers table runs from 1 27/64 to 12 27/64.
What is 27/64 as a percent?
27/64 as a percent is 42.1875%. Multiply the decimal by 100: 0.421875 × 100 = 42.1875%.
What is 0.421875 as a fraction?
0.421875 as a fraction is 27/64, in lowest terms.
How many millimetres is 27/64 of an inch?
27/64 of an inch is 10.7156 mm, or 1.07156 cm. An inch has been defined as exactly 25.4 mm since 1959, so this conversion is a definition rather than a measurement — the millimetre value is exact too.
Where is 27/64 on a tape measure?
27/64 is a real mark on a rule: it is the 27/64 mark on a 1/64 rule.