Answer
$\frac{2}{3} \cdot \frac{1}{2} = \frac{1}{3}$.
Work Step by Step
$\frac{2}{3} \cdot \frac{1}{2} = \frac{1}{3} \cdot \frac{1}{1} = \frac{1 \cdot 1}{1 \cdot 3} = \frac{1}{3}$.
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