A) \[\frac{599}{311}\]
B) \[\frac{680}{216}\]
C) \[\frac{642}{133}\]
D) \[\frac{501}{301}\]
Correct Answer: A
Solution :
Let \[x=\frac{65}{12}\] and \[y=\frac{12}{7}\] According to question, \[(x+y)\div (x-y)=\left( \frac{65}{12}+\frac{12}{7} \right)\div \left( \frac{65}{12}-\frac{12}{7} \right)\] \[=\left( \frac{455+144}{84} \right)\div \left( \frac{455-144}{84} \right)\] \[=\left( \frac{599}{84} \right)\div \left( \frac{311}{84} \right)=\frac{599}{84}\times \frac{84}{311}=\frac{599}{311}.\]
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