Fraction1/9
Fraction1/9
Decimal≈ 0.1111111111exactly 0.(1)
Percent≈ 11.111111%exactly 11.(1)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/9: 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:
- 10 ÷ 9 = 1remainder 1— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(1) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.1111111111
- Percent
- ≈ 11.111111%
- Ratio
- 1 : 9 (part to whole)
- As inches
- 1/9″ = 2.822222 mm
Equivalent fractions
Multiply the top and bottom of 1/9 by the same number and the value does not change:
1/9 = 2/18 = 3/27 = 4/36 = 5/45 = 6/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/9″ is 2.822222 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/8″ | 0.125 | 3.175 | +0.3528 mm |
| 32ths | 1/8″ | 0.125 | 3.175 | +0.3528 mm |
| 64ths | 7/64″ | 0.109375 | 2.7781 | −0.0441 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/9 as a decimal?
- 1/9 is 0.1111111111 rounded; exactly, it is the repeating decimal 0.(1).
- What is 1/9 as a percentage?
- 1/9 is about 11.111111% as a percentage.
- How many millimetres is 1/9 of an inch?
- 1/9 of an inch is 2.822222 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 1/9 in its place.