Ответ:

  1. \(1\frac{7}{18}-\frac{4}{15}=1+\frac{35}{90}-\frac{24}{90}=1\frac{11}{90}\).
  2. \(4\frac{4}{5}-4\frac{1}{6}=\frac{24}{5}-\frac{25}{6}=\frac{144-125}{30}=\frac{19}{30}\).
    Или: \(4+\left(\frac{4}{5}-\frac{1}{6}\right)=4\frac{19}{30}\).
  3. \(3\frac{1}{9}:4\frac{2}{3}=\frac{28}{9}:\frac{14}{3}=\frac{28}{9}\cdot\frac{3}{14}=\frac{2}{3}\).

Ответ: 1) \(1\frac{11}{90}\); 2) \(\frac{19}{30}\); 3) \(\frac{2}{3}\).