Answer
$\frac{3}{4} \cdot \frac{5}{6} \cdot \frac{2}{3} = \frac{5}{12}$.
Work Step by Step
$\frac{3}{4} \cdot \frac{5}{6} \cdot \frac{2}{3} = \frac{1}{4} \cdot \frac{5}{6} \cdot \frac{2}{1} = \frac{1}{2} \cdot \frac{5}{6} \cdot \frac{1}{1} = \frac{1 \cdot 5 \cdot 1}{2 \cdot 6 \cdot 1} = \frac{5}{12}$.
