Fraction4/7
Fraction4/7
Decimal≈ 0.5714285714exactly 0.(571428)
Percent≈ 57.142857%exactly 57.(142857)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 4/7: 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:
- 40 ÷ 7 = 5remainder 5
- 50 ÷ 7 = 7remainder 1
- 10 ÷ 7 = 1remainder 3
- 30 ÷ 7 = 4remainder 2
- 20 ÷ 7 = 2remainder 6
- 60 ÷ 7 = 8remainder 4— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(571428) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.5714285714
- Percent
- ≈ 57.142857%
- Ratio
- 4 : 7 (part to whole)
- As inches
- 4/7″ = 14.514286 mm
Equivalent fractions
Multiply the top and bottom of 4/7 by the same number and the value does not change:
4/7 = 8/14 = 12/21 = 16/28 = 20/35 = 24/42 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 4/7″ is 14.514286 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 9/16″ | 0.5625 | 14.2875 | −0.2268 mm |
| 32ths | 9/16″ | 0.5625 | 14.2875 | −0.2268 mm |
| 64ths | 37/64″ | 0.578125 | 14.6844 | +0.1701 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 4/7 as a decimal?
- 4/7 is 0.5714285714 rounded; exactly, it is the repeating decimal 0.(571428).
- What is 4/7 as a percentage?
- 4/7 is about 57.142857% as a percentage.
- How many millimetres is 4/7 of an inch?
- 4/7 of an inch is 14.514286 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 4/7 in its place.