Fraction7/15
Fraction7/15
Decimal≈ 0.4666666667exactly 0.4(6)
Percent≈ 46.666667%exactly 46.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 7/15: 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:
- 70 ÷ 15 = 4remainder 10
- 100 ÷ 15 = 6remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.4(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.4666666667
- Percent
- ≈ 46.666667%
- Ratio
- 7 : 15 (part to whole)
- As inches
- 7/15″ = 11.853333 mm
Equivalent fractions
Multiply the top and bottom of 7/15 by the same number and the value does not change:
7/15 = 14/30 = 21/45 = 28/60 = 35/75 = 42/90 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 7/15″ is 11.853333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/16″ | 0.4375 | 11.1125 | −0.7408 mm |
| 32ths | 15/32″ | 0.46875 | 11.9063 | +0.0529 mm |
| 64ths | 15/32″ | 0.46875 | 11.9063 | +0.0529 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 7/15 as a decimal?
- 7/15 is 0.4666666667 rounded; exactly, it is the repeating decimal 0.4(6).
- What is 7/15 as a percentage?
- 7/15 is about 46.666667% as a percentage.
- How many millimetres is 7/15 of an inch?
- 7/15 of an inch is 11.853333 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 7/15 in its place.