а) \(\frac{3}{7}\cdot\frac{5}{11}=\frac{15}{77}\).
в) \(3\frac{3}{5}+1\frac{1}{9}=\frac{18}{5}+\frac{10}{9}=\frac{162+50}{45}=\frac{212}{45}=4\frac{32}{45}\).
д) \(\frac{5}{9}:\frac{10}{27}=\frac{5}{9}\cdot\frac{27}{10}=\frac{3}{2}=1\frac{1}{2}\).
Ответ: а) \(\frac{15}{77}\); в) \(4\frac{32}{45}\); д) \(1\frac{1}{2}\).