1. Найдите: 1) $$8\frac{16}{23}-2\frac{12}{23}+3\frac{3}{23}$$; 2) $$6\frac{5}{11}-2\frac{2}{11}$$; 3) $$7\frac{4}{5}-4\frac{4}{5}$$; 4) $$25\frac{2}{9}+76\frac{8}{9}$$; 5) $$17\frac{1}{2}-5$$

1) $$8\frac{16}{23}-2\frac{12}{23}+3\frac{3}{23}$$

Сначала выполним вычитание, затем сложение.

$$8\frac{16}{23}-2\frac{12}{23} = (8-2)+\frac{16-12}{23} = 6+\frac{4}{23} = 6\frac{4}{23}$$

$$6\frac{4}{23}+3\frac{3}{23} = (6+3)+\frac{4+3}{23} = 9+\frac{7}{23} = 9\frac{7}{23}$$

Ответ: $$9\frac{7}{23}$$

2) $$6\frac{5}{11}-2\frac{2}{11}$$

$$6\frac{5}{11}-2\frac{2}{11} = (6-2)+\frac{5-2}{11} = 4+\frac{3}{11} = 4\frac{3}{11}$$

Ответ: $$4\frac{3}{11}$$

3) $$7\frac{4}{5}-4\frac{4}{5}$$

$$7\frac{4}{5}-4\frac{4}{5} = (7-4)+\frac{4-4}{5} = 3+0 = 3$$

Ответ: 3

4) $$25\frac{2}{9}+76\frac{8}{9}$$

$$25\frac{2}{9}+76\frac{8}{9} = (25+76)+\frac{2+8}{9} = 101+\frac{10}{9} = 101+1\frac{1}{9} = 102\frac{1}{9}$$

Ответ: $$102\frac{1}{9}$$

5) $$17\frac{1}{2}-5$$

$$17\frac{1}{2}-5 = (17-5)+\frac{1}{2} = 12+\frac{1}{2} = 12\frac{1}{2}$$

Ответ: $$12\frac{1}{2}$$