5/64 as a decimal
5/64 = 0.078125 inches = 1.9844 mm.
0.078125
5/64 of an inch
Millimetres
1.9844 mm
Centimetres
0.19844 cm
Percent
7.8125%
Decimal
terminates
64 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 ÷ 64 | 0 | 50 − 0 | 50 |
| 2 | 500 ÷ 64 | 7 | 500 − 448 | 52 |
| 3 | 520 ÷ 64 | 8 | 520 − 512 | 8 |
| 4 | 80 ÷ 64 | 1 | 80 − 64 | 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 5/64 = 0.078125 exactly.
Where 5/64 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 | exact |
Mixed numbers with 5/64
A whole number of inches plus 5/64: the whole number goes in front of the decimal point and 5/64 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 5/64 | 1.078125 | 27.3844 |
| 2 5/64 | 2.078125 | 52.7844 |
| 3 5/64 | 3.078125 | 78.1844 |
| 4 5/64 | 4.078125 | 103.5844 |
| 5 5/64 | 5.078125 | 128.9844 |
| 6 5/64 | 6.078125 | 154.3844 |
| 7 5/64 | 7.078125 | 179.7844 |
| 8 5/64 | 8.078125 | 205.1844 |
| 9 5/64 | 9.078125 | 230.5844 |
| 10 5/64 | 10.078125 | 255.9844 |
| 11 5/64 | 11.078125 | 281.3844 |
| 12 5/64 | 12.078125 | 306.7844 |
Converting 5/64 to a decimal
A fraction is a division. 5/64 = 5 ÷ 64 = 0.078125. 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 1.9844 millimetres (0.19844 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 7.8125%.
5/64 is a real mark on a rule: it is the 5/64 mark on a 1/64 rule.
Going the other way
To turn 0.078125 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.078125 × 16 = 1.25, giving 1/16 after rounding to the nearest mark. At 1/32: 0.078125 × 32 = 2.5, giving 3/32 after rounding to the nearest mark. At 1/64: 0.078125 × 64 = 5, giving 5/64 exactly.
What is 5/64 as a decimal?
5/64 as a decimal is 0.078125. Divide the numerator by the denominator: 5 ÷ 64 = 0.078125. The division comes out exactly, with no remainder left over.
What is 2 5/64 as a decimal?
2 5/64 as a decimal is 2.078125. The whole number stays in front of the decimal point and 5/64 supplies the digits after it, so 2 5/64 = 2 + 0.078125. In millimetres that is 52.7844 mm. This page's mixed-numbers table runs from 1 5/64 to 12 5/64.
What is 5/64 as a percent?
5/64 as a percent is 7.8125%. Multiply the decimal by 100: 0.078125 × 100 = 7.8125%.
What is 0.078125 as a fraction?
0.078125 as a fraction is 5/64, in lowest terms.
How many millimetres is 5/64 of an inch?
5/64 of an inch is 1.9844 mm, or 0.19844 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 5/64 on a tape measure?
5/64 is a real mark on a rule: it is the 5/64 mark on a 1/64 rule.