What is the quotient of the fraction with numerator A cubed b and denominator c squared divided by the fraction with numerator 2 A b and denominator c cubed ? Assume A is not equal to 0 , b is not equal to 0 , and c is not equal to 0

Divide by the second fraction by multiplying by its reciprocal: (A³b/c²) × (c³/(2Ab)). Cancel b, reduce A³/A to A², and simplify c³/c² to c. The result is A²c/2, or one-half A squared c, which is choice D.

AI-written and checked against the verified answer.