6/11
Fraction6/11
Decimal≈ 0.5454545455exactly 0.(54)
Percent≈ 54.545455%exactly 54.(54)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 6/11: 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:
- 60 ÷ 11 = 5remainder 5
- 50 ÷ 11 = 4remainder 6— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(54) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.5454545455
- Percent
- ≈ 54.545455%
- Ratio
- 6 : 11 (part to whole)
- As inches
- 6/11″ = 13.854545 mm
Equivalent fractions
Multiply the top and bottom of 6/11 by the same number and the value does not change:
6/11 = 12/22 = 18/33 = 24/44 = 30/55 = 36/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 6/11″ is 13.854545 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 9/16″ | 0.5625 | 14.2875 | +0.433 mm |
| 32ths | 17/32″ | 0.53125 | 13.4938 | −0.3608 mm |
| 64ths | 35/64″ | 0.546875 | 13.8906 | +0.0361 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 6/11 as a decimal?
- 6/11 is 0.5454545455 rounded; exactly, it is the repeating decimal 0.(54).
- What is 6/11 as a percentage?
- 6/11 is about 54.545455% as a percentage.
- How many millimetres is 6/11 of an inch?
- 6/11 of an inch is 13.854545 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 6/11 in its place.