27/32 as a decimal
27/32 = 0.84375 inches = 21.4312 mm.
0.84375
27/32 of an inch
Millimetres
21.4312 mm
Centimetres
2.14312 cm
Percent
84.375%
Decimal
terminates
32 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 ÷ 32 | 8 | 270 − 256 | 14 |
| 2 | 140 ÷ 32 | 4 | 140 − 128 | 12 |
| 3 | 120 ÷ 32 | 3 | 120 − 96 | 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 27/32 = 0.84375 exactly.
Where 27/32 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 7/8 | nearest |
| 1/32 | 27/32 | exact |
| 1/64 | 27/32 | exact |
27/32 = 54/64
All the same mark. 27/32 is the form in lowest terms, which is how a rule labels it and how a cut list should read.
Mixed numbers with 27/32
A whole number of inches plus 27/32: the whole number goes in front of the decimal point and 27/32 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 27/32 | 1.84375 | 46.8312 |
| 2 27/32 | 2.84375 | 72.2313 |
| 3 27/32 | 3.84375 | 97.6312 |
| 4 27/32 | 4.84375 | 123.0313 |
| 5 27/32 | 5.84375 | 148.4313 |
| 6 27/32 | 6.84375 | 173.8312 |
| 7 27/32 | 7.84375 | 199.2312 |
| 8 27/32 | 8.84375 | 224.6312 |
| 9 27/32 | 9.84375 | 250.0313 |
| 10 27/32 | 10.84375 | 275.4312 |
| 11 27/32 | 11.84375 | 300.8313 |
| 12 27/32 | 12.84375 | 326.2312 |
Converting 27/32 to a decimal
A fraction is a division. 27/32 = 27 ÷ 32 = 0.84375. 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 21.4312 millimetres (2.14312 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 84.375%.
27/32 is a real mark on a rule: it is the 27/32 mark on a 1/32 rule, and the same mark is written 54/64 at finer precisions.
Going the other way
To turn 0.84375 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.84375 × 16 = 13.5, giving 7/8 after rounding to the nearest mark. At 1/32: 0.84375 × 32 = 27, giving 27/32 exactly. At 1/64: 0.84375 × 64 = 54, giving 27/32 exactly.
What is 27/32 as a decimal?
27/32 as a decimal is 0.84375. Divide the numerator by the denominator: 27 ÷ 32 = 0.84375. The division comes out exactly, with no remainder left over.
What is 2 27/32 as a decimal?
2 27/32 as a decimal is 2.84375. The whole number stays in front of the decimal point and 27/32 supplies the digits after it, so 2 27/32 = 2 + 0.84375. In millimetres that is 72.2313 mm. This page's mixed-numbers table runs from 1 27/32 to 12 27/32.
What is 27/32 as a percent?
27/32 as a percent is 84.375%. Multiply the decimal by 100: 0.84375 × 100 = 84.375%.
What is 0.84375 as a fraction?
0.84375 as a fraction is 27/32, in lowest terms. It can also be written 54/64, which are the same value expressed over a larger denominator.
How many millimetres is 27/32 of an inch?
27/32 of an inch is 21.4312 mm, or 2.14312 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 27/32 on a tape measure?
27/32 is a real mark on a rule: it is the 27/32 mark on a 1/32 rule, and the same mark is written 54/64 at finer precisions.