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OpenStudy (anonymous):
what is 0.09090909090909 as a fraction
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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 \(\dfrac{1}{11}\)
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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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