To multiply the fractions \( \frac{9}{7} \) and \( \frac{3}{5} \), you multiply the numerators together and the denominators together:
\[ \frac{9}{7} \times \frac{3}{5} = \frac{9 \times 3}{7 \times 5} = \frac{27}{35} \]
So, \( \frac{9}{7} \times \frac{3}{5} = \frac{27}{35} \).