Answer :

[tex]\underline{0.0909...}\\1:11\\\underline{0}\\10\\\underline{.\ 0}\\100\\\underline{.\ 99}\\.\ \ 10\\\underline{.\ \ \ 0}\\.\ \ 100\\\underline{.\ \ \ \ 99}\\.\ \ \ \ \ 1\\\\\boxed{\frac{1}{11}=0.0909...=0.\overline{09}=0.(09)}[/tex]
minecraftrules96
Okay so here is what you would do:

If you want take a calculator and calculate the following (to check my work):

Do 1 divided by 11 (1 / 11).

Pretty much you would get a crazy number similar to this:

0.09090909090909

That's a repeating decimal so just go ahead and turn it into this:
     _
1.09

(Pretend the _ is over the number 9)

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