в) $$24 - (3\frac{3}{5} - 1\frac{7}{9}):(\frac{1}{2} - \frac{1}{3})$$;

Решение:

1) $$3\frac{3}{5} - 1\frac{7}{9} = \frac{18}{5} - \frac{16}{9} = \frac{18 \cdot 9}{5 \cdot 9} - \frac{16 \cdot 5}{9 \cdot 5} = \frac{162}{45} - \frac{80}{45} = \frac{162 - 80}{45} = \frac{82}{45}$$;

2) $$\frac{1}{2} - \frac{1}{3} = \frac{1 \cdot 3}{2 \cdot 3} - \frac{1 \cdot 2}{3 \cdot 2} = \frac{3}{6} - \frac{2}{6} = \frac{3 - 2}{6} = \frac{1}{6}$$;

3) $$\frac{82}{45}:\frac{1}{6} = \frac{82}{45} \cdot \frac{6}{1} = \frac{82 \cdot 6}{45} = \frac{82 \cdot 2 \cdot 3}{15 \cdot 3} = \frac{82 \cdot 2}{15} = \frac{164}{15} = 10\frac{14}{15}$$;

4) $$24 - 10\frac{14}{15} = 23\frac{15}{15} - 10\frac{14}{15} = 13\frac{1}{15}$$.

Ответ: $$13\frac{1}{15}$$