Fraction5/6
Fraction5/6
Decimal≈ 0.8333333333exactly 0.8(3)
Percent≈ 83.333333%exactly 83.(3)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/6: 6 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:
- 50 ÷ 6 = 8remainder 2
- 20 ÷ 6 = 3remainder 2— this remainder has come around before, so from here the digits repeat
Written exactly: 0.8(3) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.8333333333
- Percent
- ≈ 83.333333%
- Ratio
- 5 : 6 (part to whole)
- As inches
- 5/6″ = 21.166667 mm
Equivalent fractions
Multiply the top and bottom of 5/6 by the same number and the value does not change:
5/6 = 10/12 = 15/18 = 20/24 = 25/30 = 30/36 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/6″ is 21.166667 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 13/16″ | 0.8125 | 20.6375 | −0.5292 mm |
| 32ths | 27/32″ | 0.84375 | 21.4313 | +0.2646 mm |
| 64ths | 53/64″ | 0.828125 | 21.0344 | −0.1323 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/6 as a decimal?
- 5/6 is 0.8333333333 rounded; exactly, it is the repeating decimal 0.8(3).
- What is 5/6 as a percentage?
- 5/6 is about 83.333333% as a percentage.
- How many millimetres is 5/6 of an inch?
- 5/6 of an inch is 21.166667 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 5/6 in its place.