Aptitude Question ID : 89378

Simplify
\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}} :
[A]\frac{5}{16}
[B]\frac{7}{18}
[C]\frac{8}{19}
[D]\frac{9}{16}

\mathbf{\frac{8}{19}}Given Expression :
\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}}
=>\frac{1}{2+\frac{1}{2+\frac{2}{3}}}
=> \frac{1}{2+\frac{3}{8}}
=>\frac{8}{19}
Hence option [c] is the right answer.

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