Aptitude Question ID : 94813

The value of
1+\frac{1}{1+\frac{2}{3+\frac{4}{5}}} is :
[A]\frac{2}{19}
[B]\frac{48}{29}
[C]\frac{8}{19}
[D]\frac{12}{29}

\mathbf{\frac{48}{29}}
1+\frac{1}{1+\frac{2}{\frac{15+4}{5}}}
= 1+\frac{1}{1+\frac{2\times 5}{19}} = 1+\frac{1}{\frac{19+10}{19}}
= 1+\frac{19}{29} = \frac{29+19}{29} = \frac{48}{29}
Hence option [B] is right answer.

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