Question

What is 8.666666666666 in simplest form

Answer 1

0.6 repeated = 2/3 so 8.6666666... will =
`8 (2)/(3)`

Answer 2

Take a look at what you get when you divide 1/9.


`\ \ \ 0.11...\\9\overline{)1.0000}\\\sp{ \ \ \ -9}\\\sp{\ \ \ \ \ 10}\\\sp{\ \ \ \ -9}\\\sp{\ \ \ \ \ 10...}`

So when you divide 6/9, you would get 0.66666....

6 and 9 are both divisible by 3, so 6/9 = 2/3.

Therefore
`8.\overline{6}=\boxed{8\frac{2}3}`.