Fraction4/15
Fraction4/15
Decimal≈ 0.2666666667exactly 0.2(6)
Percent≈ 26.666667%exactly 26.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 4/15: 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:
- 40 ÷ 15 = 2remainder 10
- 100 ÷ 15 = 6remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.2(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.2666666667
- Percent
- ≈ 26.666667%
- Ratio
- 4 : 15 (part to whole)
- As inches
- 4/15″ = 6.773333 mm
Equivalent fractions
Multiply the top and bottom of 4/15 by the same number and the value does not change:
4/15 = 8/30 = 12/45 = 16/60 = 20/75 = 24/90 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 4/15″ is 6.773333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/4″ | 0.25 | 6.35 | −0.4233 mm |
| 32ths | 9/32″ | 0.28125 | 7.1438 | +0.3704 mm |
| 64ths | 17/64″ | 0.265625 | 6.7469 | −0.0265 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 4/15 as a decimal?
- 4/15 is 0.2666666667 rounded; exactly, it is the repeating decimal 0.2(6).
- What is 4/15 as a percentage?
- 4/15 is about 26.666667% as a percentage.
- How many millimetres is 4/15 of an inch?
- 4/15 of an inch is 6.773333 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 4/15 in its place.