Fraction1/22
Fraction1/22
Decimal≈ 0.0454545455exactly 0.0(45)
Percent≈ 4.545455%exactly 4.(54)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/22: 22 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 ÷ 22 = 0remainder 10
- 100 ÷ 22 = 4remainder 12
- 120 ÷ 22 = 5remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.0(45) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.0454545455
- Percent
- ≈ 4.545455%
- Ratio
- 1 : 22 (part to whole)
- As inches
- 1/22″ = 1.154545 mm
Equivalent fractions
Multiply the top and bottom of 1/22 by the same number and the value does not change:
1/22 = 2/44 = 3/66 = 4/88 = 5/110 = 6/132 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/22″ is 1.154545 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/16″ | 0.0625 | 1.5875 | +0.433 mm |
| 32ths | 1/32″ | 0.03125 | 0.7938 | −0.3608 mm |
| 64ths | 3/64″ | 0.046875 | 1.1906 | +0.0361 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/22 as a decimal?
- 1/22 is 0.0454545455 rounded; exactly, it is the repeating decimal 0.0(45).
- What is 1/22 as a percentage?
- 1/22 is about 4.545455% as a percentage.
- How many millimetres is 1/22 of an inch?
- 1/22 of an inch is 1.154545 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 1/22 in its place.