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Convert 0.29\overline{6} to a fraction in simplest form.

 
 Jun 11, 2024
 #1
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\(x = 0.29\overline{6}\)

\(100x = 29.\overline{6}\)

\(100x = 29 \frac{2}{3}\)

\(100x = \frac{89}{3}\)

\(\mathbf{x = \frac{89}{300}}\)

 

Therefore, \(\mathbf{0.29\overline{6} = \frac{89}{300}}\)

 Jun 11, 2024

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