Fraction3/7
Fraction3/7
Decimal≈ 0.4285714286exactly 0.(428571)
Percent≈ 42.857143%exactly 42.(857142)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 3/7: 7 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 ÷ 7 = 4remainder 2
- 20 ÷ 7 = 2remainder 6
- 60 ÷ 7 = 8remainder 4
- 40 ÷ 7 = 5remainder 5
- 50 ÷ 7 = 7remainder 1
- 10 ÷ 7 = 1remainder 3— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(428571) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.4285714286
- Percent
- ≈ 42.857143%
- Ratio
- 3 : 7 (part to whole)
- As inches
- 3/7″ = 10.885714 mm
Equivalent fractions
Multiply the top and bottom of 3/7 by the same number and the value does not change:
3/7 = 6/14 = 9/21 = 12/28 = 15/35 = 18/42 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 3/7″ is 10.885714 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/16″ | 0.4375 | 11.1125 | +0.2268 mm |
| 32ths | 7/16″ | 0.4375 | 11.1125 | +0.2268 mm |
| 64ths | 27/64″ | 0.421875 | 10.7156 | −0.1701 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 3/7 as a decimal?
- 3/7 is 0.4285714286 rounded; exactly, it is the repeating decimal 0.(428571).
- What is 3/7 as a percentage?
- 3/7 is about 42.857143% as a percentage.
- How many millimetres is 3/7 of an inch?
- 3/7 of an inch is 10.885714 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 3/7 in its place.