Find the value of \(1\; + \;\frac{1}{{1\; + \;\frac{2}{{2\; + \;\frac{3}{{1\; + \;\frac{4}{5}}}}}}}\)

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

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