1) $$5\frac{1}{3}\cdot 9-2\frac{3}{4}\cdot 5\frac{1}{3}-7\frac{1}{2}\cdot 1\frac{5}{9}$$ = $$\frac{16}{3}\cdot 9-\frac{11}{4}\cdot \frac{16}{3}-\frac{15}{2}\cdot \frac{14}{9}$$ = $$16\cdot 3-\frac{11\cdot 4}{3}-\frac{5\cdot 7}{3}$$ = $$48-\frac{44}{3}-\frac{35}{3}$$ = $$48-\frac{79}{3}$$ = $$\frac{144-79}{3}$$ = $$\frac{65}{3}$$ = $$21\frac{2}{3}$$
Ответ: $$21\frac{2}{3}$$
2) $$2\frac{1}{4}\cdot 2\frac{2}{27}+(3\frac{1}{6}+4\frac{5}{6}\cdot \frac{11}{29})\cdot 1\frac{1}{15}$$ = $$\frac{9}{4}\cdot \frac{56}{27}+(\frac{19}{6}+\frac{29}{6}\cdot \frac{11}{29})\cdot \frac{16}{15}$$ = $$\frac{2\cdot 7}{3}+(\frac{19}{6}+\frac{11}{6})\cdot \frac{16}{15}$$ = $$\frac{14}{3}+\frac{30}{6}\cdot \frac{16}{15}$$ = $$\frac{14}{3}+5\cdot \frac{16}{15}$$ = $$\frac{14}{3}+\frac{16}{3}$$ = $$\frac{30}{3}$$ = $$10$$
Ответ: 10