Respuesta :

monaibrahim1590

the answer is none of them because if you do  0.09 as fraction, it will be 9/100 and you cant simplify that

mathstudent55

Answer:

0.090909... = 1/11

Step-by-step explanation:

There is a bar over the 09.

Let x = 0.090909...

Then 100x = 9.090909...

Now subtract the first equation from the second equation.

      100x = 9.090909...

-            x = 0.090909...

-----------------------------

        99x = 9

Divide both sides by 9.

11x = 1

x = 1/11

0.090909... = 1/11