17/64 as a decimal
17/64 = 0.265625 inches = 6.7469 mm.
0.265625
17/64 of an inch
Millimetres
6.7469 mm
Centimetres
0.67469 cm
Percent
26.5625%
Decimal
terminates
64 goes into 17 0 times with 17 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 | 170 ÷ 64 | 2 | 170 − 128 | 42 |
| 2 | 420 ÷ 64 | 6 | 420 − 384 | 36 |
| 3 | 360 ÷ 64 | 5 | 360 − 320 | 40 |
| 4 | 400 ÷ 64 | 6 | 400 − 384 | 16 |
| 5 | 160 ÷ 64 | 2 | 160 − 128 | 32 |
| 6 | 320 ÷ 64 | 5 | 320 − 320 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 17/64 = 0.265625 exactly.
Where 17/64 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 1/4 | nearest |
| 1/32 | 9/32 | nearest |
| 1/64 | 17/64 | exact |
Mixed numbers with 17/64
A whole number of inches plus 17/64: the whole number goes in front of the decimal point and 17/64 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 17/64 | 1.265625 | 32.1469 |
| 2 17/64 | 2.265625 | 57.5469 |
| 3 17/64 | 3.265625 | 82.9469 |
| 4 17/64 | 4.265625 | 108.3469 |
| 5 17/64 | 5.265625 | 133.7469 |
| 6 17/64 | 6.265625 | 159.1469 |
| 7 17/64 | 7.265625 | 184.5469 |
| 8 17/64 | 8.265625 | 209.9469 |
| 9 17/64 | 9.265625 | 235.3469 |
| 10 17/64 | 10.265625 | 260.7469 |
| 11 17/64 | 11.265625 | 286.1469 |
| 12 17/64 | 12.265625 | 311.5469 |
Converting 17/64 to a decimal
A fraction is a division. 17/64 = 17 ÷ 64 = 0.265625. 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 6.7469 millimetres (0.67469 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 26.5625%.
17/64 is a real mark on a rule: it is the 17/64 mark on a 1/64 rule.
Going the other way
To turn 0.265625 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.265625 × 16 = 4.25, giving 1/4 after rounding to the nearest mark. At 1/32: 0.265625 × 32 = 8.5, giving 9/32 after rounding to the nearest mark. At 1/64: 0.265625 × 64 = 17, giving 17/64 exactly.
What is 17/64 as a decimal?
17/64 as a decimal is 0.265625. Divide the numerator by the denominator: 17 ÷ 64 = 0.265625. The division comes out exactly, with no remainder left over.
What is 2 17/64 as a decimal?
2 17/64 as a decimal is 2.265625. The whole number stays in front of the decimal point and 17/64 supplies the digits after it, so 2 17/64 = 2 + 0.265625. In millimetres that is 57.5469 mm. This page's mixed-numbers table runs from 1 17/64 to 12 17/64.
What is 17/64 as a percent?
17/64 as a percent is 26.5625%. Multiply the decimal by 100: 0.265625 × 100 = 26.5625%.
What is 0.265625 as a fraction?
0.265625 as a fraction is 17/64, in lowest terms.
How many millimetres is 17/64 of an inch?
17/64 of an inch is 6.7469 mm, or 0.67469 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 17/64 on a tape measure?
17/64 is a real mark on a rule: it is the 17/64 mark on a 1/64 rule.