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Mathematics 15 Online
OpenStudy (anonymous):

what is 0.09090909090909 as a fraction

geerky42 (geerky42):

0.09090909090909 OR 0.09090909090909... ?

OpenStudy (anonymous):

what is it in fraction

OpenStudy (anonymous):

bye

OpenStudy (studygurl14):

1/11

geerky42 (geerky42):

Assume you mean 0.0909... Then it is \(\dfrac{1}{11}\)

OpenStudy (anonymous):

As for a derivation:\[\begin{align*}x&=0.\overline{09}\\ 100x&=9.\overline{09}\\ 99x&=9\\ x&=\frac{9}{99}\end{align*}\]

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