Simplify: \(1 + \frac{1}{{1 + \frac{2}{{2 + \frac{3}{{1 + \frac{4}{5}}}}}}} = ?\)

1
\(1 \frac{5}{7}\)
2
\(1 \frac{6}{17}\)
3
\(1 \frac{11}{17}\)
4
\(1 \frac{21}{17}\)

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