Ответ:

  1. \(1\frac{7}{18}-\frac{4}{15}=1+\frac{35}{90}-\frac{24}{90}=1\frac{11}{90}\).
  2. \(4\frac{4}{5}\cdot4\frac{1}{6}=\frac{24}{5}\cdot\frac{25}{6}=20\).
  3. \(3\frac{1}{9}:4\frac{2}{3}=\frac{28}{9}:\frac{14}{3}=\frac{28}{9}\cdot\frac{3}{14}=\frac{2}{3}\).
  4. \((30:27-\frac{1}{3})\cdot2\frac{1}{7}+\frac{2}{5}=(\frac{10}{9}-\frac{1}{3})\cdot\frac{15}{7}+\frac{2}{5}=\frac{7}{9}\cdot\frac{15}{7}+\frac{2}{5}=\frac{5}{3}+\frac{2}{5}=\frac{31}{15}=2\frac{1}{15}\).

Ответ: 1) \(1\frac{11}{90}\); 2) 20; 3) \(\frac{2}{3}\); 4) \(2\frac{1}{15}\).