Fraction1/6
Fraction1/6
Decimal≈ 0.1666666667exactly 0.1(6)
Percent≈ 16.666667%exactly 16.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/6: 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:
- 10 ÷ 6 = 1remainder 4
- 40 ÷ 6 = 6remainder 4— this remainder has come around before, so from here the digits repeat
Written exactly: 0.1(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.1666666667
- Percent
- ≈ 16.666667%
- Ratio
- 1 : 6 (part to whole)
- As inches
- 1/6″ = 4.233333 mm
Equivalent fractions
Multiply the top and bottom of 1/6 by the same number and the value does not change:
1/6 = 2/12 = 3/18 = 4/24 = 5/30 = 6/36 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/6″ is 4.233333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/16″ | 0.1875 | 4.7625 | +0.5292 mm |
| 32ths | 5/32″ | 0.15625 | 3.9688 | −0.2646 mm |
| 64ths | 11/64″ | 0.171875 | 4.3656 | +0.1323 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/6 as a decimal?
- 1/6 is 0.1666666667 rounded; exactly, it is the repeating decimal 0.1(6).
- What is 1/6 as a percentage?
- 1/6 is about 16.666667% as a percentage.
- How many millimetres is 1/6 of an inch?
- 1/6 of an inch is 4.233333 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 1/6 in its place.