Fraction8/11
Fraction8/11
Decimal≈ 0.7272727273exactly 0.(72)
Percent≈ 72.727273%exactly 72.(72)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 8/11: 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:
- 80 ÷ 11 = 7remainder 3
- 30 ÷ 11 = 2remainder 8— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(72) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.7272727273
- Percent
- ≈ 72.727273%
- Ratio
- 8 : 11 (part to whole)
- As inches
- 8/11″ = 18.472727 mm
Equivalent fractions
Multiply the top and bottom of 8/11 by the same number and the value does not change:
8/11 = 16/22 = 24/33 = 32/44 = 40/55 = 48/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 8/11″ is 18.472727 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/4″ | 0.75 | 19.05 | +0.5773 mm |
| 32ths | 23/32″ | 0.71875 | 18.2563 | −0.2165 mm |
| 64ths | 47/64″ | 0.734375 | 18.6531 | +0.1804 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 8/11 as a decimal?
- 8/11 is 0.7272727273 rounded; exactly, it is the repeating decimal 0.(72).
- What is 8/11 as a percentage?
- 8/11 is about 72.727273% as a percentage.
- How many millimetres is 8/11 of an inch?
- 8/11 of an inch is 18.472727 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 8/11 in its place.