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Compute
4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}

 Aug 27, 2024
 #1
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\(4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4}}}\)

\(4+\frac{1}{4+\frac{1}{\frac{5}{4}}}\)

\(4 + \frac{1}{4+\frac{4}{5}}\)

\(4+\frac{1}{\frac{24}{5}}\)

\(4+\frac{5}{24}\)

\(\mathbf{\frac{101}{24}}\)

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 Aug 27, 2024

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