Answer
$\frac{35}{64} \cdot \frac{32}{15} \cdot \frac{27}{72} = \frac{7}{16}$.
Work Step by Step
$\frac{35}{64} \cdot \frac{32}{15} \cdot \frac{27}{72} = \frac{35}{2} \cdot \frac{1}{15} \cdot \frac{27}{72} = \frac{7}{2} \cdot \frac{1}{1} \cdot \frac{9}{72} = \frac{7}{2} \cdot \frac{1}{1} \cdot \frac{1}{8} = \frac{7 \cdot 1 \cdot 1}{2 \cdot 1 \cdot 8} = \frac{7}{16}$.