7/8 as a decimal
7/8 = 0.875 inches = 22.225 mm.
0.875
7/8 of an inch
Millimetres
22.225 mm
Centimetres
2.2225 cm
Percent
87.5%
Decimal
terminates
8 goes into 7 0 times with 7 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 | 70 ÷ 8 | 8 | 70 − 64 | 6 |
| 2 | 60 ÷ 8 | 7 | 60 − 56 | 4 |
| 3 | 40 ÷ 8 | 5 | 40 − 40 | 0 |
Remainder 0: nothing is left to divide, so the division stops and 7/8 = 0.875 exactly.
Where 7/8 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 7/8 | exact |
| 1/32 | 7/8 | exact |
| 1/64 | 7/8 | exact |
7/8 = 14/16 = 28/32 = 56/64
All the same mark. 7/8 is the form in lowest terms, which is how a rule labels it and how a cut list should read.
Mixed numbers with 7/8
A whole number of inches plus 7/8: the whole number goes in front of the decimal point and 7/8 supplies the digits after it
| Mixed | Inches | mm |
|---|---|---|
| 1 7/8 | 1.875 | 47.625 |
| 2 7/8 | 2.875 | 73.025 |
| 3 7/8 | 3.875 | 98.425 |
| 4 7/8 | 4.875 | 123.825 |
| 5 7/8 | 5.875 | 149.225 |
| 6 7/8 | 6.875 | 174.625 |
| 7 7/8 | 7.875 | 200.025 |
| 8 7/8 | 8.875 | 225.425 |
| 9 7/8 | 9.875 | 250.825 |
| 10 7/8 | 10.875 | 276.225 |
| 11 7/8 | 11.875 | 301.625 |
| 12 7/8 | 12.875 | 327.025 |
Converting 7/8 to a decimal
A fraction is a division. 7/8 = 7 ÷ 8 = 0.875. The decimal terminates because 8 factors into 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 22.225 millimetres (2.2225 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 87.5%.
7/8 is a real mark on a rule: it is the 7/8 mark on a 1/16 rule, and the same mark is written 14/16 or 28/32 or 56/64 at finer precisions.
Going the other way
To turn 0.875 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.875 × 16 = 14, giving 7/8 exactly. At 1/32: 0.875 × 32 = 28, giving 7/8 exactly. At 1/64: 0.875 × 64 = 56, giving 7/8 exactly.
What is 7/8 as a decimal?
7/8 as a decimal is 0.875. Divide the numerator by the denominator: 7 ÷ 8 = 0.875. The division comes out exactly, with no remainder left over.
What is 2 7/8 as a decimal?
2 7/8 as a decimal is 2.875. The whole number stays in front of the decimal point and 7/8 supplies the digits after it, so 2 7/8 = 2 + 0.875. In millimetres that is 73.025 mm. This page's mixed-numbers table runs from 1 7/8 to 12 7/8.
What is 7/8 as a percent?
7/8 as a percent is 87.5%. Multiply the decimal by 100: 0.875 × 100 = 87.5%.
What is 0.875 as a fraction?
0.875 as a fraction is 7/8, in lowest terms. It can also be written 14/16 or 28/32 or 56/64, which are the same value expressed over a larger denominator.
How many millimetres is 7/8 of an inch?
7/8 of an inch is 22.225 mm, or 2.2225 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 7/8 on a tape measure?
7/8 is a real mark on a rule: it is the 7/8 mark on a 1/16 rule, and the same mark is written 14/16 or 28/32 or 56/64 at finer precisions.