Aptitude Question ID : 94709

Find the value of
\frac{5\frac{9}{14}}{5+\frac{3}{3+\frac{1}{\frac{3}{5}}}}
[A]1
[B]1.5
[C]2
[D]2.5

1
Given Expression,
= \frac{5\frac{9}{14}}{5+\frac{3}{3+\frac{1}{\frac{3}{5}}}}
= \frac{\frac{79}{14}}{5+\frac{3}{3+\frac{5}{3}}}
= \frac{\frac{79}{14}}{5+\frac{9}{14}}= \frac{\frac{79}{14}}{\frac{70+9}{14}}
= \frac{79}{14}\times \frac{14}{79} = 1
Hence option [A] is right answer.

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