Выполним действия по порядку:
- $$\frac{7}{20} \cdot 9 = \frac{7 \cdot 9}{20} = \frac{63}{20} = 3\frac{3}{20}$$
- $$12 \cdot \frac{7}{36} = \frac{12 \cdot 7}{36} = \frac{1 \cdot 7}{3} = \frac{7}{3} = 2\frac{1}{3}$$
- $$1\frac{8}{15} : 4 = \frac{23}{15} : 4 = \frac{23}{15} \cdot \frac{1}{4} = \frac{23}{60}$$
- $$\frac{3}{5} : 4\frac{1}{2} = \frac{3}{5} : \frac{9}{2} = \frac{3}{5} \cdot \frac{2}{9} = \frac{3 \cdot 2}{5 \cdot 9} = \frac{1 \cdot 2}{5 \cdot 3} = \frac{2}{15}$$
- $$3\frac{3}{20} + 2\frac{1}{3} = 3\frac{9}{60} + 2\frac{20}{60} = 5\frac{29}{60}$$
- $$\frac{23}{60} + \frac{2}{15} = \frac{23}{60} + \frac{8}{60} = \frac{31}{60}$$
- $$5\frac{29}{60} + \frac{31}{60} = 5\frac{60}{60} = 5 + 1 = 6$$
Ответ: 6