Fraction5/7
Fraction5/7
Decimal≈ 0.7142857143exactly 0.(714285)
Percent≈ 71.428571%exactly 71.(428571)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 5/7: 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:
- 50 ÷ 7 = 7remainder 1
- 10 ÷ 7 = 1remainder 3
- 30 ÷ 7 = 4remainder 2
- 20 ÷ 7 = 2remainder 6
- 60 ÷ 7 = 8remainder 4
- 40 ÷ 7 = 5remainder 5— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(714285) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.7142857143
- Percent
- ≈ 71.428571%
- Ratio
- 5 : 7 (part to whole)
- As inches
- 5/7″ = 18.142857 mm
Equivalent fractions
Multiply the top and bottom of 5/7 by the same number and the value does not change:
5/7 = 10/14 = 15/21 = 20/28 = 25/35 = 30/42 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 5/7″ is 18.142857 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 11/16″ | 0.6875 | 17.4625 | −0.6804 mm |
| 32ths | 23/32″ | 0.71875 | 18.2563 | +0.1134 mm |
| 64ths | 23/32″ | 0.71875 | 18.2563 | +0.1134 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 5/7 as a decimal?
- 5/7 is 0.7142857143 rounded; exactly, it is the repeating decimal 0.(714285).
- What is 5/7 as a percentage?
- 5/7 is about 71.428571% as a percentage.
- How many millimetres is 5/7 of an inch?
- 5/7 of an inch is 18.142857 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 5/7 in its place.