III)
1) $$3\frac{1}{2} = \frac{3 \cdot 2 + 1}{2} = \frac{7}{2}$$
2) $$4\frac{2}{3} = \frac{4 \cdot 3 + 2}{3} = \frac{14}{3}$$
3) $$4\frac{1}{3} = \frac{4 \cdot 3 + 1}{3} = \frac{13}{3}$$
4) $$3\frac{1}{2} = \frac{3 \cdot 2 + 1}{2} = \frac{7}{2}$$
5) $$4\frac{4}{5} = \frac{4 \cdot 5 + 4}{5} = \frac{24}{5}$$
6) $$\frac{7}{2} : \frac{14}{3} = \frac{7}{2} \cdot \frac{3}{14} = \frac{3}{4}$$
7) $$\frac{13}{3} : \frac{7}{2} = \frac{13}{3} \cdot \frac{2}{7} = \frac{26}{21}$$
8) $$\frac{3}{4} + \frac{26}{21} = \frac{3 \cdot 21 + 26 \cdot 4}{84} = \frac{63 + 104}{84} = \frac{167}{84}$$
9) $$\frac{167}{84} \cdot \frac{24}{5} = \frac{167 \cdot 2}{35} = \frac{334}{35} = 9\frac{19}{35}$$
Ответ: 9 19/35