Fraction10/11
Fraction10/11
Decimal≈ 0.9090909091exactly 0.(90)
Percent≈ 90.909091%exactly 90.(90)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 10/11: 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:
- 100 ÷ 11 = 9remainder 1
- 10 ÷ 11 = 0remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(90) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.9090909091
- Percent
- ≈ 90.909091%
- Ratio
- 10 : 11 (part to whole)
- As inches
- 10/11″ = 23.090909 mm
Equivalent fractions
Multiply the top and bottom of 10/11 by the same number and the value does not change:
10/11 = 20/22 = 30/33 = 40/44 = 50/55 = 60/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 10/11″ is 23.090909 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 15/16″ | 0.9375 | 23.8125 | +0.7216 mm |
| 32ths | 29/32″ | 0.90625 | 23.0188 | −0.0722 mm |
| 64ths | 29/32″ | 0.90625 | 23.0188 | −0.0722 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 10/11 as a decimal?
- 10/11 is 0.9090909091 rounded; exactly, it is the repeating decimal 0.(90).
- What is 10/11 as a percentage?
- 10/11 is about 90.909091% as a percentage.
- How many millimetres is 10/11 of an inch?
- 10/11 of an inch is 23.090909 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 10/11 in its place.