A) \[\frac{-4}{3}\]
B) \[\frac{3}{5}\]
C) \[\frac{-8}{5}\]
D) \[\frac{-3}{8}\]
Correct Answer: C
Solution :
Simplify within brackets first and then simplify the resultant. \[\left( \frac{5}{9}\div \frac{15}{36} \right)\div \left( \frac{-5}{6} \right)\] \[=\left( \frac{5}{9}\times \frac{36}{15} \right)\times \left( \frac{6}{-5} \right)=\frac{4}{3}\times \frac{6}{-5}\] \[=\frac{8}{-5}=\frac{-8}{5}\]
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