13/16 as a decimal
13/16 = 0.8125 inches = 20.6375 mm.
0.8125
13/16 of an inch
Millimetres
20.6375 mm
Centimetres
2.06375 cm
Percent
81.25%
Decimal
terminates
16 goes into 13 0 times with 13 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 | 130 ÷ 16 | 8 | 130 − 128 | 2 |
| 2 | 20 ÷ 16 | 1 | 20 − 16 | 4 |
| 3 | 40 ÷ 16 | 2 | 40 − 32 | 8 |
| 4 | 80 ÷ 16 | 5 | 80 − 80 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 13/16 = 0.8125 exactly.
Where 13/16 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 13/16 | exact |
| 1/32 | 13/16 | exact |
| 1/64 | 13/16 | exact |
13/16 = 26/32 = 52/64
All the same mark. 13/16 is the form in lowest terms, which is how a rule labels it and how a cut list should read.
Mixed numbers with 13/16
A whole number of inches plus 13/16: the whole number goes in front of the decimal point and 13/16 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 13/16 | 1.8125 | 46.0375 |
| 2 13/16 | 2.8125 | 71.4375 |
| 3 13/16 | 3.8125 | 96.8375 |
| 4 13/16 | 4.8125 | 122.2375 |
| 5 13/16 | 5.8125 | 147.6375 |
| 6 13/16 | 6.8125 | 173.0375 |
| 7 13/16 | 7.8125 | 198.4375 |
| 8 13/16 | 8.8125 | 223.8375 |
| 9 13/16 | 9.8125 | 249.2375 |
| 10 13/16 | 10.8125 | 274.6375 |
| 11 13/16 | 11.8125 | 300.0375 |
| 12 13/16 | 12.8125 | 325.4375 |
Converting 13/16 to a decimal
A fraction is a division. 13/16 = 13 ÷ 16 = 0.8125. 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 20.6375 millimetres (2.06375 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 81.25%.
13/16 is a real mark on a rule: it is the 13/16 mark on a 1/16 rule, and the same mark is written 26/32 or 52/64 at finer precisions.
Going the other way
To turn 0.8125 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.8125 × 16 = 13, giving 13/16 exactly. At 1/32: 0.8125 × 32 = 26, giving 13/16 exactly. At 1/64: 0.8125 × 64 = 52, giving 13/16 exactly.
What is 13/16 as a decimal?
13/16 as a decimal is 0.8125. Divide the numerator by the denominator: 13 ÷ 16 = 0.8125. The division comes out exactly, with no remainder left over.
What is 2 13/16 as a decimal?
2 13/16 as a decimal is 2.8125. The whole number stays in front of the decimal point and 13/16 supplies the digits after it, so 2 13/16 = 2 + 0.8125. In millimetres that is 71.4375 mm. This page's mixed-numbers table runs from 1 13/16 to 12 13/16.
What is 13/16 as a percent?
13/16 as a percent is 81.25%. Multiply the decimal by 100: 0.8125 × 100 = 81.25%.
What is 0.8125 as a fraction?
0.8125 as a fraction is 13/16, in lowest terms. It can also be written 26/32 or 52/64, which are the same value expressed over a larger denominator.
How many millimetres is 13/16 of an inch?
13/16 of an inch is 20.6375 mm, or 2.06375 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 13/16 on a tape measure?
13/16 is a real mark on a rule: it is the 13/16 mark on a 1/16 rule, and the same mark is written 26/32 or 52/64 at finer precisions.