Fraction8/15
Fraction8/15
Decimal≈ 0.5333333333exactly 0.5(3)
Percent≈ 53.333333%exactly 53.(3)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 8/15: 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:
- 80 ÷ 15 = 5remainder 5
- 50 ÷ 15 = 3remainder 5— this remainder has come around before, so from here the digits repeat
Written exactly: 0.5(3) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.5333333333
- Percent
- ≈ 53.333333%
- Ratio
- 8 : 15 (part to whole)
- As inches
- 8/15″ = 13.546667 mm
Equivalent fractions
Multiply the top and bottom of 8/15 by the same number and the value does not change:
8/15 = 16/30 = 24/45 = 32/60 = 40/75 = 48/90 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 8/15″ is 13.546667 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 9/16″ | 0.5625 | 14.2875 | +0.7408 mm |
| 32ths | 17/32″ | 0.53125 | 13.4938 | −0.0529 mm |
| 64ths | 17/32″ | 0.53125 | 13.4938 | −0.0529 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 8/15 as a decimal?
- 8/15 is 0.5333333333 rounded; exactly, it is the repeating decimal 0.5(3).
- What is 8/15 as a percentage?
- 8/15 is about 53.333333% as a percentage.
- How many millimetres is 8/15 of an inch?
- 8/15 of an inch is 13.546667 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 8/15 in its place.