Fraction5/11
Fraction5/11
Decimal≈ 0.4545454545exactly 0.(45)
Percent≈ 45.454545%exactly 45.(45)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/11: 11 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 ÷ 11 = 4remainder 6
- 60 ÷ 11 = 5remainder 5— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(45) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.4545454545
- Percent
- ≈ 45.454545%
- Ratio
- 5 : 11 (part to whole)
- As inches
- 5/11″ = 11.545455 mm
Equivalent fractions
Multiply the top and bottom of 5/11 by the same number and the value does not change:
5/11 = 10/22 = 15/33 = 20/44 = 25/55 = 30/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/11″ is 11.545455 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/16″ | 0.4375 | 11.1125 | −0.433 mm |
| 32ths | 15/32″ | 0.46875 | 11.9063 | +0.3608 mm |
| 64ths | 29/64″ | 0.453125 | 11.5094 | −0.0361 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/11 as a decimal?
- 5/11 is 0.4545454545 rounded; exactly, it is the repeating decimal 0.(45).
- What is 5/11 as a percentage?
- 5/11 is about 45.454545% as a percentage.
- How many millimetres is 5/11 of an inch?
- 5/11 of an inch is 11.545455 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 5/11 in its place.