Выполните действия: 8\frac{3}{7}-2\frac{1}{7}= 6\frac{8}{23}-\frac{12}{23}= 10\frac{3}{5}+6\frac{4}{5}= 15-2\frac{3}{5}= 5\frac{6}{8}-3\frac{2}{8}= 5\frac{7}{9}+3\frac{4}{9}= 8\frac{3}{9}+1\frac{7}{9}= 19-5\frac{6}{13}= 7\frac{3}{11}-\frac{2}{11}= 12\frac{3}{10}+3\frac{7}{10}= 12\frac{7}{8}+3\frac{7}{8}= 10\frac{3}{7}-4\frac{5}{7}=

Решим данные примеры:

1. $$8\frac{3}{7}-2\frac{1}{7} = (8-2) + (\frac{3}{7}-\frac{1}{7}) = 6 + \frac{2}{7} = 6\frac{2}{7}$$
2. $$6\frac{8}{23}-\frac{12}{23} = 6 + \frac{8}{23}-\frac{12}{23} = 5 + 1 + \frac{8}{23}-\frac{12}{23} = 5 + \frac{23}{23} + \frac{8}{23} - \frac{12}{23} = 5 + \frac{31}{23} - \frac{12}{23} = 5 + \frac{19}{23} = 5\frac{19}{23}$$
3. $$10\frac{3}{5}+6\frac{4}{5} = (10+6) + (\frac{3}{5} + \frac{4}{5}) = 16 + \frac{7}{5} = 16 + 1\frac{2}{5} = 17\frac{2}{5}$$
4. $$15-2\frac{3}{5} = 14 + 1 - 2\frac{3}{5} = 14 + \frac{5}{5} - 2\frac{3}{5} = (14 - 2) + (\frac{5}{5} - \frac{3}{5}) = 12 + \frac{2}{5} = 12\frac{2}{5}$$
5. $$5\frac{6}{8}-3\frac{2}{8} = (5 - 3) + (\frac{6}{8} - \frac{2}{8}) = 2 + \frac{4}{8} = 2 + \frac{1}{2} = 2\frac{1}{2}$$
6. $$5\frac{7}{9}+3\frac{4}{9} = (5+3) + (\frac{7}{9} + \frac{4}{9}) = 8 + \frac{11}{9} = 8 + 1\frac{2}{9} = 9\frac{2}{9}$$
7. $$8\frac{3}{9}+1\frac{7}{9} = (8+1) + (\frac{3}{9} + \frac{7}{9}) = 9 + \frac{10}{9} = 9 + 1\frac{1}{9} = 10\frac{1}{9}$$
8. $$19-5\frac{6}{13} = 18 + 1 - 5\frac{6}{13} = 18 + \frac{13}{13} - 5\frac{6}{13} = (18 - 5) + (\frac{13}{13} - \frac{6}{13}) = 13 + \frac{7}{13} = 13\frac{7}{13}$$
9. $$7\frac{3}{11}-\frac{2}{11} = 7 + \frac{3}{11} - \frac{2}{11} = 7 + \frac{1}{11} = 7\frac{1}{11}$$
10. $$12\frac{3}{10}+3\frac{7}{10} = (12 + 3) + (\frac{3}{10} + \frac{7}{10}) = 15 + \frac{10}{10} = 15 + 1 = 16$$
11. $$12\frac{7}{8}+3\frac{7}{8} = (12 + 3) + (\frac{7}{8} + \frac{7}{8}) = 15 + \frac{14}{8} = 15 + 1\frac{6}{8} = 16\frac{6}{8} = 16\frac{3}{4}$$
12. $$10\frac{3}{7}-4\frac{5}{7} = (10 - 4) + (\frac{3}{7} - \frac{5}{7}) = 6 + (\frac{3}{7} - \frac{5}{7}) = 5 + 1 + \frac{3}{7} - \frac{5}{7} = 5 + \frac{7}{7} + \frac{3}{7} - \frac{5}{7} = 5 + \frac{10}{7} - \frac{5}{7} = 5 + \frac{5}{7} = 5\frac{5}{7}$$

Ответ:

1. $$6\frac{2}{7}$$
2. $$5\frac{19}{23}$$
3. $$17\frac{2}{5}$$
4. $$12\frac{2}{5}$$
5. $$2\frac{1}{2}$$
6. $$9\frac{2}{9}$$
7. $$10\frac{1}{9}$$
8. $$13\frac{7}{13}$$
9. $$7\frac{1}{11}$$
10. 16
11. $$16\frac{3}{4}$$
12. $$5\frac{5}{7}$$