Fraction1/24
Fraction1/24
Decimal≈ 0.0416666667exactly 0.041(6)
Percent≈ 4.166667%exactly 4.1(6)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/24: 24 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:
- 10 ÷ 24 = 0remainder 10
- 100 ÷ 24 = 4remainder 4
- 40 ÷ 24 = 1remainder 16
- 160 ÷ 24 = 6remainder 16— this remainder has come around before, so from here the digits repeat
Written exactly: 0.041(6) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.0416666667
- Percent
- ≈ 4.166667%
- Ratio
- 1 : 24 (part to whole)
- As inches
- 1/24″ = 1.058333 mm
Equivalent fractions
Multiply the top and bottom of 1/24 by the same number and the value does not change:
1/24 = 2/48 = 3/72 = 4/96 = 5/120 = 6/144 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/24″ is 1.058333 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/16″ | 0.0625 | 1.5875 | +0.5292 mm |
| 32ths | 1/32″ | 0.03125 | 0.7938 | −0.2646 mm |
| 64ths | 3/64″ | 0.046875 | 1.1906 | +0.1323 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/24 as a decimal?
- 1/24 is 0.0416666667 rounded; exactly, it is the repeating decimal 0.041(6).
- What is 1/24 as a percentage?
- 1/24 is about 4.166667% as a percentage.
- How many millimetres is 1/24 of an inch?
- 1/24 of an inch is 1.058333 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 1/24 in its place.