Fraction4/9
Fraction4/9
Decimal≈ 0.4444444444exactly 0.(4)
Percent≈ 44.444444%exactly 44.(4)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 4/9: 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:
- 40 ÷ 9 = 4remainder 4— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(4) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.4444444444
- Percent
- ≈ 44.444444%
- Ratio
- 4 : 9 (part to whole)
- As inches
- 4/9″ = 11.288889 mm
Equivalent fractions
Multiply the top and bottom of 4/9 by the same number and the value does not change:
4/9 = 8/18 = 12/27 = 16/36 = 20/45 = 24/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 4/9″ is 11.288889 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/16″ | 0.4375 | 11.1125 | −0.1764 mm |
| 32ths | 7/16″ | 0.4375 | 11.1125 | −0.1764 mm |
| 64ths | 7/16″ | 0.4375 | 11.1125 | −0.1764 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 4/9 as a decimal?
- 4/9 is 0.4444444444 rounded; exactly, it is the repeating decimal 0.(4).
- What is 4/9 as a percentage?
- 4/9 is about 44.444444% as a percentage.
- How many millimetres is 4/9 of an inch?
- 4/9 of an inch is 11.288889 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 4/9 in its place.