Fraction1/15
Fraction1/15
Decimal≈ 0.0666666667exactly 0.0(6)
Percent≈ 6.666667%exactly 6.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/15: 15 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 ÷ 15 = 0remainder 10
- 100 ÷ 15 = 6remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.0(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.0666666667
- Percent
- ≈ 6.666667%
- Ratio
- 1 : 15 (part to whole)
- As inches
- 1/15″ = 1.693333 mm
Equivalent fractions
Multiply the top and bottom of 1/15 by the same number and the value does not change:
1/15 = 2/30 = 3/45 = 4/60 = 5/75 = 6/90 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/15″ is 1.693333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/16″ | 0.0625 | 1.5875 | −0.1058 mm |
| 32ths | 1/16″ | 0.0625 | 1.5875 | −0.1058 mm |
| 64ths | 1/16″ | 0.0625 | 1.5875 | −0.1058 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/15 as a decimal?
- 1/15 is 0.0666666667 rounded; exactly, it is the repeating decimal 0.0(6).
- What is 1/15 as a percentage?
- 1/15 is about 6.666667% as a percentage.
- How many millimetres is 1/15 of an inch?
- 1/15 of an inch is 1.693333 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 1/15 in its place.