Ответ:
Рассчитаем каждое действие по отдельности. a) \( \frac{2}{3} \cdot \frac{8}{13} = \frac{2 \cdot 8}{3 \cdot 13} = \frac{16}{39} \). b) \( \frac{12}{49} \cdot \frac{7}{24} = \frac{12 \cdot 7}{49 \cdot 24} = \frac{84}{1176} = \frac{7}{98} = \frac{1}{14} \). c) \( 2 \frac{5}{11} \cdot 2 \frac{4}{9} = \frac{27}{11} \cdot \frac{22}{9} = \frac{27 \cdot 22}{11 \cdot 9} = \frac{594}{99} = 6 \). d) \( \frac{6}{7} \div \frac{12}{35} = \frac{6}{7} \cdot \frac{35}{12} = \frac{6 \cdot 35}{7 \cdot 12} = \frac{210}{84} = \frac{5}{2} = 2.5 \). e) \( \frac{14}{15} \div 7 = \frac{14}{15} \cdot \frac{1}{7} = \frac{14}{105} = \frac{2}{15} \).
