Compute 4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}
\(4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4}}}\)
\(4+\frac{1}{4+\frac{1}{\frac{5}{4}}}\)
\(4 + \frac{1}{4+\frac{4}{5}}\)
\(4+\frac{1}{\frac{24}{5}}\)
\(4+\frac{5}{24}\)
\(\mathbf{\frac{101}{24}}\)