Fraction8/9
Fraction8/9
Decimal≈ 0.8888888889exactly 0.(8)
Percent≈ 88.888889%exactly 88.(8)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 8/9: 9 has a prime factor other than 2 and 5, so no whole-number multiplier reaches a power of ten. Watch the long division to see what happens instead — the remainders start circling, and once a remainder comes back, the digits must too:
- 80 ÷ 9 = 8remainder 8— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(8) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.8888888889
- Percent
- ≈ 88.888889%
- Ratio
- 8 : 9 (part to whole)
- As inches
- 8/9″ = 22.577778 mm
Equivalent fractions
Multiply the top and bottom of 8/9 by the same number and the value does not change:
8/9 = 16/18 = 24/27 = 32/36 = 40/45 = 48/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 8/9″ is 22.577778 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/8″ | 0.875 | 22.225 | −0.3528 mm |
| 32ths | 7/8″ | 0.875 | 22.225 | −0.3528 mm |
| 64ths | 57/64″ | 0.890625 | 22.6219 | +0.0441 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 8/9 as a decimal?
- 8/9 is 0.8888888889 rounded; exactly, it is the repeating decimal 0.(8).
- What is 8/9 as a percentage?
- 8/9 is about 88.888889% as a percentage.
- How many millimetres is 8/9 of an inch?
- 8/9 of an inch is 22.577778 mm, computed with the exact definition 1 inch = 25.4 mm.
Related
Fraction–decimal chartThe everyday set, printable.Rule charts16ths, 32nds, 64ths, 128ths.The rulerSee 8/9 in its place.