196. Выполните действия: 1) 8+\frac{15}{22}; 2) \frac{11}{35}+2; 3) 5\frac{7}{24}+7\frac{5}{24}; 4) 12\frac{6}{7}-5\frac{3}{7};

Выполним действия:

1. $$8+\frac{15}{22} = \frac{8 \cdot 22}{22} + \frac{15}{22} = \frac{176}{22} + \frac{15}{22} = \frac{176+15}{22} = \frac{191}{22} = 8\frac{15}{22}$$
2. $$\frac{11}{35}+2 = \frac{11}{35} + \frac{2 \cdot 35}{35} = \frac{11}{35} + \frac{70}{35} = \frac{11+70}{35} = \frac{81}{35} = 2\frac{11}{35}$$
3. $$5\frac{7}{24}+7\frac{5}{24} = (5+7) + (\frac{7}{24} + \frac{5}{24}) = 12 + \frac{7+5}{24} = 12 + \frac{12}{24} = 12 + \frac{1}{2} = 12\frac{1}{2}$$
4. $$12\frac{6}{7}-5\frac{3}{7} = (12-5) + (\frac{6}{7} - \frac{3}{7}) = 7 + \frac{6-3}{7} = 7 + \frac{3}{7} = 7\frac{3}{7}$$

Ответ: 1) $$8\frac{15}{22}$$; 2) $$2\frac{11}{35}$$; 3) $$12\frac{1}{2}$$; 4) $$7\frac{3}{7}$$