Answer
$\frac{1}{2}x$
Work Step by Step
To divide fractions, take the product of the reciprocal. This leaves $$\frac{3}{x} \cdot \frac{x^2}{6}=\frac{3}{6} \cdot \frac{x^2}{x}=\frac{3}{3(2)} \cdot x^{2-1}=\frac{1}{2}x$$
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