Fraction13/15
Fraction13/15
Decimal≈ 0.8666666667exactly 0.8(6)
Percent≈ 86.666667%exactly 86.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 13/15: 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:
- 130 ÷ 15 = 8remainder 10
- 100 ÷ 15 = 6remainder 10— this remainder has come around before, so from here the digits repeat
Written exactly: 0.8(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.8666666667
- Percent
- ≈ 86.666667%
- Ratio
- 13 : 15 (part to whole)
- As inches
- 13/15″ = 22.013333 mm
Equivalent fractions
Multiply the top and bottom of 13/15 by the same number and the value does not change:
13/15 = 26/30 = 39/45 = 52/60 = 65/75 = 78/90 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 13/15″ is 22.013333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/8″ | 0.875 | 22.225 | +0.2117 mm |
| 32ths | 7/8″ | 0.875 | 22.225 | +0.2117 mm |
| 64ths | 55/64″ | 0.859375 | 21.8281 | −0.1852 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 13/15 as a decimal?
- 13/15 is 0.8666666667 rounded; exactly, it is the repeating decimal 0.8(6).
- What is 13/15 as a percentage?
- 13/15 is about 86.666667% as a percentage.
- How many millimetres is 13/15 of an inch?
- 13/15 of an inch is 22.013333 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 13/15 in its place.