15/16 as a decimal
15/16 = 0.9375 inches = 23.8125 mm.
0.9375
15/16 of an inch
Millimetres
23.8125 mm
Centimetres
2.38125 cm
Percent
93.75%
Decimal
terminates
16 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 ÷ 16 | 9 | 150 − 144 | 6 |
| 2 | 60 ÷ 16 | 3 | 60 − 48 | 12 |
| 3 | 120 ÷ 16 | 7 | 120 − 112 | 8 |
| 4 | 80 ÷ 16 | 5 | 80 − 80 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 15/16 = 0.9375 exactly.
Where 15/16 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 15/16 | exact |
| 1/32 | 15/16 | exact |
| 1/64 | 15/16 | exact |
15/16 = 30/32 = 60/64
All the same mark. 15/16 is the form in lowest terms, which is how a rule labels it and how a cut list should read.
Mixed numbers with 15/16
A whole number of inches plus 15/16: the whole number goes in front of the decimal point and 15/16 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 15/16 | 1.9375 | 49.2125 |
| 2 15/16 | 2.9375 | 74.6125 |
| 3 15/16 | 3.9375 | 100.0125 |
| 4 15/16 | 4.9375 | 125.4125 |
| 5 15/16 | 5.9375 | 150.8125 |
| 6 15/16 | 6.9375 | 176.2125 |
| 7 15/16 | 7.9375 | 201.6125 |
| 8 15/16 | 8.9375 | 227.0125 |
| 9 15/16 | 9.9375 | 252.4125 |
| 10 15/16 | 10.9375 | 277.8125 |
| 11 15/16 | 11.9375 | 303.2125 |
| 12 15/16 | 12.9375 | 328.6125 |
Converting 15/16 to a decimal
A fraction is a division. 15/16 = 15 ÷ 16 = 0.9375. The decimal terminates because 16 factors into 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 23.8125 millimetres (2.38125 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 93.75%.
15/16 is a real mark on a rule: it is the 15/16 mark on a 1/16 rule, and the same mark is written 30/32 or 60/64 at finer precisions.
Going the other way
To turn 0.9375 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.9375 × 16 = 15, giving 15/16 exactly. At 1/32: 0.9375 × 32 = 30, giving 15/16 exactly. At 1/64: 0.9375 × 64 = 60, giving 15/16 exactly.
What is 15/16 as a decimal?
15/16 as a decimal is 0.9375. Divide the numerator by the denominator: 15 ÷ 16 = 0.9375. The division comes out exactly, with no remainder left over.
What is 2 15/16 as a decimal?
2 15/16 as a decimal is 2.9375. The whole number stays in front of the decimal point and 15/16 supplies the digits after it, so 2 15/16 = 2 + 0.9375. In millimetres that is 74.6125 mm. This page's mixed-numbers table runs from 1 15/16 to 12 15/16.
What is 15/16 as a percent?
15/16 as a percent is 93.75%. Multiply the decimal by 100: 0.9375 × 100 = 93.75%.
What is 0.9375 as a fraction?
0.9375 as a fraction is 15/16, in lowest terms. It can also be written 30/32 or 60/64, which are the same value expressed over a larger denominator.
How many millimetres is 15/16 of an inch?
15/16 of an inch is 23.8125 mm, or 2.38125 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 15/16 on a tape measure?
15/16 is a real mark on a rule: it is the 15/16 mark on a 1/16 rule, and the same mark is written 30/32 or 60/64 at finer precisions.