Fraction7/11
Fraction7/11
Decimal≈ 0.6363636364exactly 0.(63)
Percent≈ 63.636364%exactly 63.(63)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 7/11: 11 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:
- 70 ÷ 11 = 6remainder 4
- 40 ÷ 11 = 3remainder 7— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(63) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.6363636364
- Percent
- ≈ 63.636364%
- Ratio
- 7 : 11 (part to whole)
- As inches
- 7/11″ = 16.163636 mm
Equivalent fractions
Multiply the top and bottom of 7/11 by the same number and the value does not change:
7/11 = 14/22 = 21/33 = 28/44 = 35/55 = 42/66 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 7/11″ is 16.163636 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 5/8″ | 0.625 | 15.875 | −0.2886 mm |
| 32ths | 5/8″ | 0.625 | 15.875 | −0.2886 mm |
| 64ths | 41/64″ | 0.640625 | 16.2719 | +0.1082 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 7/11 as a decimal?
- 7/11 is 0.6363636364 rounded; exactly, it is the repeating decimal 0.(63).
- What is 7/11 as a percentage?
- 7/11 is about 63.636364% as a percentage.
- How many millimetres is 7/11 of an inch?
- 7/11 of an inch is 16.163636 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 7/11 in its place.