Aptitude Question ID : 94700

Simplify :
1+\frac{4}{2+\frac{3}{5-\frac{1}{2}}} - \frac{1}{2}(10\div 2)
[A]0
[B]1
[C]-\frac{15}{2}
[D]-\frac{1}{2}

0
Given Expression,
= 1+\frac{4}{2+\frac{3}{5-\frac{1}{2}}} - \frac{1}{2}(10\div 2)
= 1+\frac{4}{2+\frac{3}{\frac{10-1}{2}}} - \frac{1}{2}\times 5
= 1+\frac{4}{2+\frac{6}{9}} - \frac{5}{2} = 1+\frac{4}{2+\frac{2}{3}} - \frac{5}{2}
= 1+\frac{4}{\frac{8}{3}} - \frac{5}{2} = 1+\frac{4\times 3}{8} - \frac{5}{2}
= 1+\frac{3}{2} - \frac{5}{2} = \frac{2+3-5}{2} = 0
Hence option [A] is right answer.

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