Fraction3/11
Fraction3/11
Decimal≈ 0.2727272727exactly 0.(27)
Percent≈ 27.272727%exactly 27.(27)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 3/11: 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:
- 30 ÷ 11 = 2remainder 8
- 80 ÷ 11 = 7remainder 3— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(27) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.2727272727
- Percent
- ≈ 27.272727%
- Ratio
- 3 : 11 (part to whole)
- As inches
- 3/11″ = 6.927273 mm
Equivalent fractions
Multiply the top and bottom of 3/11 by the same number and the value does not change:
3/11 = 6/22 = 9/33 = 12/44 = 15/55 = 18/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 3/11″ is 6.927273 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/4″ | 0.25 | 6.35 | −0.5773 mm |
| 32ths | 9/32″ | 0.28125 | 7.1438 | +0.2165 mm |
| 64ths | 17/64″ | 0.265625 | 6.7469 | −0.1804 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 3/11 as a decimal?
- 3/11 is 0.2727272727 rounded; exactly, it is the repeating decimal 0.(27).
- What is 3/11 as a percentage?
- 3/11 is about 27.272727% as a percentage.
- How many millimetres is 3/11 of an inch?
- 3/11 of an inch is 6.927273 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 3/11 in its place.