Answer
$\frac{51y}{52}$
Work Step by Step
$\frac{17y^2}{24x}\div\frac{13y}{18x}=\frac{17y^2}{24x}\times\frac{18x}{13y}=\frac{17y^2\times18x}{24x\times13y}=\frac{306xy^2}{312xy}=\frac{306xy^2\div6xy}{312xy\div6xy}=\frac{51y}{52}$
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