15/32 as a decimal
15/32 = 0.46875 inches = 11.9063 mm.
0.46875
15/32 of an inch
Millimetres
11.9063 mm
Centimetres
1.19063 cm
Percent
46.875%
Decimal
terminates
32 goes into 15 0 times with 15 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 | 150 ÷ 32 | 4 | 150 − 128 | 22 |
| 2 | 220 ÷ 32 | 6 | 220 − 192 | 28 |
| 3 | 280 ÷ 32 | 8 | 280 − 256 | 24 |
| 4 | 240 ÷ 32 | 7 | 240 − 224 | 16 |
| 5 | 160 ÷ 32 | 5 | 160 − 160 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 15/32 = 0.46875 exactly.
Where 15/32 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 1/2 | nearest |
| 1/32 | 15/32 | exact |
| 1/64 | 15/32 | exact |
15/32 = 30/64
All the same mark. 15/32 is the form in lowest terms, which is how a rule labels it and how a cut list should read.
Mixed numbers with 15/32
A whole number of inches plus 15/32: the whole number goes in front of the decimal point and 15/32 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 15/32 | 1.46875 | 37.3062 |
| 2 15/32 | 2.46875 | 62.7062 |
| 3 15/32 | 3.46875 | 88.1062 |
| 4 15/32 | 4.46875 | 113.5062 |
| 5 15/32 | 5.46875 | 138.9063 |
| 6 15/32 | 6.46875 | 164.3062 |
| 7 15/32 | 7.46875 | 189.7062 |
| 8 15/32 | 8.46875 | 215.1062 |
| 9 15/32 | 9.46875 | 240.5062 |
| 10 15/32 | 10.46875 | 265.9063 |
| 11 15/32 | 11.46875 | 291.3062 |
| 12 15/32 | 12.46875 | 316.7062 |
Converting 15/32 to a decimal
A fraction is a division. 15/32 = 15 ÷ 32 = 0.46875. The decimal terminates because 32 factors into 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 11.9063 millimetres (1.19063 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 46.875%.
15/32 is a real mark on a rule: it is the 15/32 mark on a 1/32 rule, and the same mark is written 30/64 at finer precisions.
Going the other way
To turn 0.46875 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.46875 × 16 = 7.5, giving 1/2 after rounding to the nearest mark. At 1/32: 0.46875 × 32 = 15, giving 15/32 exactly. At 1/64: 0.46875 × 64 = 30, giving 15/32 exactly.
What is 15/32 as a decimal?
15/32 as a decimal is 0.46875. Divide the numerator by the denominator: 15 ÷ 32 = 0.46875. The division comes out exactly, with no remainder left over.
What is 2 15/32 as a decimal?
2 15/32 as a decimal is 2.46875. The whole number stays in front of the decimal point and 15/32 supplies the digits after it, so 2 15/32 = 2 + 0.46875. In millimetres that is 62.7062 mm. This page's mixed-numbers table runs from 1 15/32 to 12 15/32.
What is 15/32 as a percent?
15/32 as a percent is 46.875%. Multiply the decimal by 100: 0.46875 × 100 = 46.875%.
What is 0.46875 as a fraction?
0.46875 as a fraction is 15/32, in lowest terms. It can also be written 30/64, which are the same value expressed over a larger denominator.
How many millimetres is 15/32 of an inch?
15/32 of an inch is 11.9063 mm, or 1.19063 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 15/32 on a tape measure?
15/32 is a real mark on a rule: it is the 15/32 mark on a 1/32 rule, and the same mark is written 30/64 at finer precisions.