Fraction7/9
Fraction7/9
Decimal≈ 0.7777777778exactly 0.(7)
Percent≈ 77.777778%exactly 77.(7)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 7/9: 9 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 ÷ 9 = 7remainder 7— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(7) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.7777777778
- Percent
- ≈ 77.777778%
- Ratio
- 7 : 9 (part to whole)
- As inches
- 7/9″ = 19.755556 mm
Equivalent fractions
Multiply the top and bottom of 7/9 by the same number and the value does not change:
7/9 = 14/18 = 21/27 = 28/36 = 35/45 = 42/54 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 7/9″ is 19.755556 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 3/4″ | 0.75 | 19.05 | −0.7056 mm |
| 32ths | 25/32″ | 0.78125 | 19.8438 | +0.0882 mm |
| 64ths | 25/32″ | 0.78125 | 19.8438 | +0.0882 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 7/9 as a decimal?
- 7/9 is 0.7777777778 rounded; exactly, it is the repeating decimal 0.(7).
- What is 7/9 as a percentage?
- 7/9 is about 77.777778% as a percentage.
- How many millimetres is 7/9 of an inch?
- 7/9 of an inch is 19.755556 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 7/9 in its place.