A) \[-\frac{177}{286}\]
B) \[-\frac{303}{40}\]
C) \[\frac{289}{492}\]
D) \[\frac{17}{24}\]
Correct Answer: A
Solution :
We have. \[\left( \frac{3}{11}\times \frac{5}{6} \right)-\left( \frac{9}{12}\times \frac{4}{3} \right)+\left( \frac{5}{13}\times \frac{6}{15} \right)\] \[=\frac{5}{22}-1+\frac{2}{13}=\frac{65-286+44}{286}=-\frac{177}{286}\]
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