Aptitude Question ID : 89378

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

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


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