Fraction5/12
Fraction5/12
Decimal≈ 0.4166666667exactly 0.41(6)
Percent≈ 41.666667%exactly 41.(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/12: 12 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:
- 50 ÷ 12 = 4remainder 2
- 20 ÷ 12 = 1remainder 8
- 80 ÷ 12 = 6remainder 8— this remainder has come around before, so from here the digits repeat
Written exactly: 0.41(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.4166666667
- Percent
- ≈ 41.666667%
- Ratio
- 5 : 12 (part to whole)
- As inches
- 5/12″ = 10.583333 mm
Equivalent fractions
Multiply the top and bottom of 5/12 by the same number and the value does not change:
5/12 = 10/24 = 15/36 = 20/48 = 25/60 = 30/72 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/12″ is 10.583333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/16″ | 0.4375 | 11.1125 | +0.5292 mm |
| 32ths | 13/32″ | 0.40625 | 10.3188 | −0.2646 mm |
| 64ths | 27/64″ | 0.421875 | 10.7156 | +0.1323 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/12 as a decimal?
- 5/12 is 0.4166666667 rounded; exactly, it is the repeating decimal 0.41(6).
- What is 5/12 as a percentage?
- 5/12 is about 41.666667% as a percentage.
- How many millimetres is 5/12 of an inch?
- 5/12 of an inch is 10.583333 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 5/12 in its place.