Fraction2/9
Fraction2/9
Decimal≈ 0.2222222222exactly 0.(2)
Percent≈ 22.222222%exactly 22.(2)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 2/9: 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:
- 20 ÷ 9 = 2remainder 2— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(2) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.2222222222
- Percent
- ≈ 22.222222%
- Ratio
- 2 : 9 (part to whole)
- As inches
- 2/9″ = 5.644444 mm
Equivalent fractions
Multiply the top and bottom of 2/9 by the same number and the value does not change:
2/9 = 4/18 = 6/27 = 8/36 = 10/45 = 12/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 2/9″ is 5.644444 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/4″ | 0.25 | 6.35 | +0.7056 mm |
| 32ths | 7/32″ | 0.21875 | 5.5563 | −0.0882 mm |
| 64ths | 7/32″ | 0.21875 | 5.5563 | −0.0882 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 2/9 as a decimal?
- 2/9 is 0.2222222222 rounded; exactly, it is the repeating decimal 0.(2).
- What is 2/9 as a percentage?
- 2/9 is about 22.222222% as a percentage.
- How many millimetres is 2/9 of an inch?
- 2/9 of an inch is 5.644444 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 2/9 in its place.