Question

Express the following in the form , where p and q are integers and q is not equal to 0
뮤 0.9999...​

Answer 1

Answer:

Let x=1.999...

Since, one digit is repeating, we multiply x by 10, we get

10x=19.99...

So, 10x=18+1.999...=18+x

Therefore, 10x−x=18, i.e., 9x=18

i.e., x=

9

18

=

1

2

=2