Answer
$\frac{2}{3} \cdot \frac{7}{12} \cdot \frac{9}{14} = \frac{1}{4}$.
Work Step by Step
$\frac{2}{3} \cdot \frac{7}{12} \cdot \frac{9}{14} = \frac{1}{3} \cdot \frac{7}{12} \cdot \frac{9}{7} = \frac{1}{1} \cdot \frac{7}{12} \cdot \frac{3}{7} = \frac{1}{1} \cdot \frac{1}{12} \cdot \frac{3}{1} = \frac{1}{1} \cdot \frac{1}{4} \cdot \frac{1}{1} = \frac{1 \cdot 1 \cdot 1}{1 \cdot 4 \cdot 1} = \frac{1}{4}$.