Fraction5/9
Fraction5/9
Decimal≈ 0.5555555556exactly 0.(5)
Percent≈ 55.555556%exactly 55.(5)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/9: 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:
- 50 ÷ 9 = 5remainder 5— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(5) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.5555555556
- Percent
- ≈ 55.555556%
- Ratio
- 5 : 9 (part to whole)
- As inches
- 5/9″ = 14.111111 mm
Equivalent fractions
Multiply the top and bottom of 5/9 by the same number and the value does not change:
5/9 = 10/18 = 15/27 = 20/36 = 25/45 = 30/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/9″ is 14.111111 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 9/16″ | 0.5625 | 14.2875 | +0.1764 mm |
| 32ths | 9/16″ | 0.5625 | 14.2875 | +0.1764 mm |
| 64ths | 9/16″ | 0.5625 | 14.2875 | +0.1764 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/9 as a decimal?
- 5/9 is 0.5555555556 rounded; exactly, it is the repeating decimal 0.(5).
- What is 5/9 as a percentage?
- 5/9 is about 55.555556% as a percentage.
- How many millimetres is 5/9 of an inch?
- 5/9 of an inch is 14.111111 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 5/9 in its place.