Fraction6/7
Fraction6/7
Decimal≈ 0.8571428571exactly 0.(857142)
Percent≈ 85.714286%exactly 85.(714285)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 6/7: 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:
- 60 ÷ 7 = 8remainder 4
- 40 ÷ 7 = 5remainder 5
- 50 ÷ 7 = 7remainder 1
- 10 ÷ 7 = 1remainder 3
- 30 ÷ 7 = 4remainder 2
- 20 ÷ 7 = 2remainder 6— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(857142) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.8571428571
- Percent
- ≈ 85.714286%
- Ratio
- 6 : 7 (part to whole)
- As inches
- 6/7″ = 21.771429 mm
Equivalent fractions
Multiply the top and bottom of 6/7 by the same number and the value does not change:
6/7 = 12/14 = 18/21 = 24/28 = 30/35 = 36/42 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 6/7″ is 21.771429 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 7/8″ | 0.875 | 22.225 | +0.4536 mm |
| 32ths | 27/32″ | 0.84375 | 21.4313 | −0.3402 mm |
| 64ths | 55/64″ | 0.859375 | 21.8281 | +0.0567 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 6/7 as a decimal?
- 6/7 is 0.8571428571 rounded; exactly, it is the repeating decimal 0.(857142).
- What is 6/7 as a percentage?
- 6/7 is about 85.714286% as a percentage.
- How many millimetres is 6/7 of an inch?
- 6/7 of an inch is 21.771429 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 6/7 in its place.