Вычислите: а) \(\frac{4}{5}\cdot\frac{3}{7}\); б) \(\frac{3}{10}\cdot\frac{5}{9}\); в) \(\frac{16}{19}\cdot\frac{9}{24}\).

а) \(\frac{4}{5}\cdot\frac{3}{7}=\frac{12}{35}\).

б) \(\frac{3}{10}\cdot\frac{5}{9}=\frac{15}{90}=\frac{1}{6}\).

в) \(\frac{16}{19}\cdot\frac{9}{24}=\frac{2}{19}\cdot\frac{3}{3}=\frac{6}{19}\).

Ответ: а) \(\frac{12}{35}\); б) \(\frac{1}{6}\); в) \(\frac{6}{19}\).