6/11

Fraction6/11
Decimal≈ 0.5454545455exactly 0.(54)
Percent≈ 54.545455%exactly 54.(54)%

6 of 11 equal parts filled — the same share as a bar and as a circle.

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:

  1. 60 ÷ 11 = 5remainder 5
  2. 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

0 1 6/11

As a measurement

Read as inches, 6/11″ is 13.854545 mm exactly. The nearest marks on the finer rules:

RuleNearest markDecimal inchesmmDifference
16ths9/16″ 0.562514.2875+0.433 mm
32ths17/32″ 0.5312513.4938−0.3608 mm
64ths35/64″ 0.54687513.8906+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.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.