Quantitative Aptitude Ques 1169

Question: The value of $ \frac{2\frac{1}{3}-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac{1}{3}}}} $ will be

Options:

A) $ \frac{39}{109} $

B) $ \frac{109}{38} $

C) $ \frac{38}{109} $

D) $ \frac{116}{109} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{2\frac{1}{3}-1\frac{2}{11}}{3+\frac{1}{3+\frac{1}{3+\frac{1}{3}}}}=\frac{\frac{7}{3}-\frac{13}{11}}{3+\frac{1}{3+\frac{1}{\frac{9+1}{3}}}} $ $ =\frac{\frac{77-39}{33}}{3+\frac{1}{3+\frac{3}{10}}}=\frac{38/33}{3+\frac{1}{\frac{30+3}{10}}}=\frac{38/33}{3+\frac{10}{33}} $ $ =\frac{38/33}{\frac{99+10}{33}}=\frac{38/33}{109/33}=\frac{38}{109} $
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