Fraction3/14
Fraction3/14
Decimal≈ 0.2142857143exactly 0.2(142857)
Percent≈ 21.428571%exactly 21.(428571)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 3/14: 14 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:
- 30 ÷ 14 = 2remainder 2
- 20 ÷ 14 = 1remainder 6
- 60 ÷ 14 = 4remainder 4
- 40 ÷ 14 = 2remainder 12
- 120 ÷ 14 = 8remainder 8
- 80 ÷ 14 = 5remainder 10— …and on it goes; the cycle takes 6 digits to close
Written exactly: 0.2(142857) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.2142857143
- Percent
- ≈ 21.428571%
- Ratio
- 3 : 14 (part to whole)
- As inches
- 3/14″ = 5.442857 mm
Equivalent fractions
Multiply the top and bottom of 3/14 by the same number and the value does not change:
3/14 = 6/28 = 9/42 = 12/56 = 15/70 = 18/84 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 3/14″ is 5.442857 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/16″ | 0.1875 | 4.7625 | −0.6804 mm |
| 32ths | 7/32″ | 0.21875 | 5.5563 | +0.1134 mm |
| 64ths | 7/32″ | 0.21875 | 5.5563 | +0.1134 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 3/14 as a decimal?
- 3/14 is 0.2142857143 rounded; exactly, it is the repeating decimal 0.2(142857).
- What is 3/14 as a percentage?
- 3/14 is about 21.428571% as a percentage.
- How many millimetres is 3/14 of an inch?
- 3/14 of an inch is 5.442857 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 3/14 in its place.