Ответ:

Решение:

  1. \( \frac{9}{35} \cdot 8 = \frac{9 \cdot 8}{35} = \frac{72}{35} = 2 \frac{2}{35} \)
  2. \( \frac{7}{24} \cdot 16 = \frac{7 \cdot 16}{24} = \frac{7 \cdot 2}{3} = \frac{14}{3} = 4 \frac{2}{3} \)
  3. \( 42 \cdot \frac{4}{7} = \frac{42 \cdot 4}{7} = 6 \cdot 4 = 24 \)
  4. \( \frac{6}{19} \cdot 57 = \frac{6 \cdot 57}{19} = 6 \cdot 3 = 18 \)
  5. \( \frac{22}{25} \cdot \frac{10}{77} = \frac{22 \cdot 10}{25 \cdot 77} = \frac{2 \cdot 2}{5 \cdot 7} = \frac{4}{35} \)
  6. \( \frac{13}{24} \cdot \frac{16}{39} = \frac{13 \cdot 16}{24 \cdot 39} = \frac{1 \cdot 2}{3 \cdot 3} = \frac{2}{9} \)
  7. \( \frac{6}{35} \cdot \frac{14}{15} = \frac{6 \cdot 14}{35 \cdot 15} = \frac{2 \cdot 2}{5 \cdot 5} = \frac{4}{25} \)
  8. \( \frac{36}{85} \cdot \frac{34}{39} = \frac{36 \cdot 34}{85 \cdot 39} = \frac{12 \cdot 2}{5 \cdot 13} = \frac{24}{65} \)

Ответ: 1) \( 2 \frac{2}{35} \); 2) \( 4 \frac{2}{3} \); 3) \( 24 \); 4) \( 18 \); 5) \( \frac{4}{35} \); 6) \( \frac{2}{9} \); 7) \( \frac{4}{25} \); 8) \( \frac{24}{65} \).