Respuesta :

Answer:

[tex]\frac{10}{9}[/tex]

Step-by-step explanation:

1 .1 ( .1 repeating) = [tex]\frac{10}{9}[/tex]

Let x=0.1

Then 10x  = 1.1111...

= 10 + 0.(1)

= 10+ x.

So, 9x=10 and lastly, x=  [tex]\frac{10}{9}[/tex]