1) 6$$\frac{3}{17} \cdot 5$$ = (6 + $$\frac{3}{17}$$) $$\cdot$$ 5 = 6 $$\cdot$$ 5 + $$\frac{3}{17} \cdot 5$$ = 30 + $$\frac{15}{17}$$ = 30$$\frac{15}{17}$$
2) 9 $$\cdot$$ 1$$\frac{5}{49}$$ = 9 $$\cdot$$ (1 + $$\frac{5}{49}$$) = 9 $$\cdot$$ 1 + 9 $$\cdot$$ $$\frac{5}{49}$$ = 9 + $$\frac{45}{49}$$ = 9$$\frac{45}{49}$$
3) 5$$\frac{2}{3} \cdot 3$$ = (5 + $$\frac{2}{3}$$) $$\cdot$$ 3 = 5 $$\cdot$$ 3 + $$\frac{2}{3} \cdot 3$$ = 15 + 2 = 17
4) 5 $$\cdot$$ 2$$\frac{6}{35}$$ = 5 $$\cdot$$ (2 + $$\frac{6}{35}$$) = 5 $$\cdot$$ 2 + 5 $$\cdot$$ $$\frac{6}{35}$$ = 10 + $$\frac{30}{35}$$ = 10 + $$\frac{6}{7}$$ = 10$$\frac{6}{7}$$
Ответ: 1) 30$$\frac{15}{17}$$; 2) 9$$\frac{45}{49}$$; 3) 17; 4) 10$$\frac{6}{7}$$