Question

Write the decimal as a mixed number in the simplest form.
9.1111...

Answer 1

Explanation:

if we say: x = 9.11111...

Then:

x = 9.11111... | ×10

10x = 91.111111...

10x-x = 91.111111... - 9.1111111...

9x= 82

from there:

`x = (82)/(9)`

x = 9 and 1/9