Answer
$\frac{39}{42} \cdot \frac{7}{13} \cdot \frac{7}{24} = \frac{7}{48}$.
Work Step by Step
$\frac{39}{42} \cdot \frac{7}{13} \cdot \frac{7}{24} = \frac{39}{6} \cdot \frac{1}{13} \cdot \frac{7}{24} = \frac{3}{6} \cdot \frac{1}{1} \cdot \frac{7}{24} = \frac{1}{6} \cdot \frac{1}{1} \cdot \frac{7}{8} = \frac{1 \cdot 1 \cdot 7}{6 \cdot 1 \cdot 8} = \frac{7}{48}$.