Задание 5. Выполни действия со смешанными числами. 5 8 1.2-+5- 13 13 15 10 2921-321 4 1 5.15--6- 10 10 7 6 6.3음-2금 17 17 9 15 9.523-423 1 5 10. 10-3 وو 3 4 13.2+3- 55 6 5 14. 11+137 7 13 16 14 4.6-+9 15 3.10 34-134 7.23-151817-15 9 8 11.12--10- 1210-1010 5 9 15.8--7- 816-716 25 12.5-4 55 16.10-4

1. \[2\frac{5}{13} + 5\frac{8}{13} = (2 + 5) + (\frac{5}{13} + \frac{8}{13}) = 7 + \frac{5+8}{13} = 7 + \frac{13}{13} = 7 + 1 = 8\]
2. \[9\frac{15}{21} - 3\frac{10}{21} = (9 - 3) + (\frac{15}{21} - \frac{10}{21}) = 6 + \frac{15-10}{21} = 6 + \frac{5}{21} = 6\frac{5}{21}\]
3. \[10\frac{16}{34} - 1\frac{14}{34} = (10 - 1) + (\frac{16}{34} - \frac{14}{34}) = 9 + \frac{16-14}{34} = 9 + \frac{2}{34} = 9 + \frac{1}{17} = 9\frac{1}{17}\]
4. \[6\frac{7}{15} + 9\frac{13}{15} = (6 + 9) + (\frac{7}{15} + \frac{13}{15}) = 15 + \frac{7+13}{15} = 15 + \frac{20}{15} = 15 + 1\frac{5}{15} = 16\frac{1}{3}\]
5. \[15\frac{1}{10} - 6\frac{4}{10} = (15 - 6) + (\frac{1}{10} - \frac{4}{10}) = 9 + \frac{1-4}{10} = 9 - \frac{3}{10} = 8\frac{10}{10} - \frac{3}{10} = 8\frac{7}{10}\]
6. \[3\frac{6}{17} - 2\frac{7}{17} = (3 - 2) + (\frac{6}{17} - \frac{7}{17}) = 1 + \frac{6-7}{17} = 1 - \frac{1}{17} = \frac{17}{17} - \frac{1}{17} = \frac{16}{17}\]
7. \[23\frac{6}{19} - 15\frac{16}{19} = (23 - 15) + (\frac{6}{19} - \frac{16}{19}) = 8 + \frac{6-16}{19} = 8 - \frac{10}{19} = 7\frac{19}{19} - \frac{10}{19} = 7\frac{9}{19}\]
8. \[17\frac{6}{17} - 15\frac{9}{17} = (17 - 15) + (\frac{6}{17} - \frac{9}{17}) = 2 + \frac{6-9}{17} = 2 - \frac{3}{17} = 1\frac{17}{17} - \frac{3}{17} = 1\frac{14}{17}\]
9. \[5\frac{9}{23} - 4\frac{15}{23} = (5 - 4) + (\frac{9}{23} - \frac{15}{23}) = 1 + \frac{9-15}{23} = 1 - \frac{6}{23} = \frac{23}{23} - \frac{6}{23} = \frac{17}{23}\]
10. \[10\frac{1}{9} - 3\frac{5}{9} = (10 - 3) + (\frac{1}{9} - \frac{5}{9}) = 7 + \frac{1-5}{9} = 7 - \frac{4}{9} = 6\frac{9}{9} - \frac{4}{9} = 6\frac{5}{9}\]
11. \[12\frac{8}{10} - 10\frac{9}{10} = (12 - 10) + (\frac{8}{10} - \frac{9}{10}) = 2 + \frac{8-9}{10} = 2 - \frac{1}{10} = 1\frac{10}{10} - \frac{1}{10} = 1\frac{9}{10}\]
12. \[5\frac{2}{7} - 4\frac{5}{7} = (5 - 4) + (\frac{2}{7} - \frac{5}{7}) = 1 + \frac{2-5}{7} = 1 - \frac{3}{7} = \frac{7}{7} - \frac{3}{7} = \frac{4}{7}\]
13. \[2\frac{3}{5} + 3\frac{4}{5} = (2 + 3) + (\frac{3}{5} + \frac{4}{5}) = 5 + \frac{3+4}{5} = 5 + \frac{7}{5} = 5 + 1\frac{2}{5} = 6\frac{2}{5}\]
14. \[11\frac{6}{7} + 13\frac{5}{7} = (11 + 13) + (\frac{6}{7} + \frac{5}{7}) = 24 + \frac{6+5}{7} = 24 + \frac{11}{7} = 24 + 1\frac{4}{7} = 25\frac{4}{7}\]
15. \[8\frac{9}{16} - 7\frac{5}{16} = (8 - 7) + (\frac{9}{16} - \frac{5}{16}) = 1 + \frac{9-5}{16} = 1 + \frac{4}{16} = 1 + \frac{1}{4} = 1\frac{1}{4}\]
16. \[10\frac{5}{9} - 4\frac{5}{9} = (10 - 4) + (\frac{5}{9} - \frac{5}{9}) = 6 + \frac{5-5}{9} = 6 + \frac{0}{9} = 6\]

Ответ: 1) 8; 2) 6\frac{5}{21}; 3) 9\frac{1}{17}; 4) 16\frac{1}{3}; 5) 8\frac{7}{10}; 6) \frac{16}{17}; 7) 7\frac{9}{19}; 8) 1\frac{14}{17}; 9) \frac{17}{23}; 10) 6\frac{5}{9}; 11) 1\frac{9}{10}; 12) \frac{4}{7}; 13) 6\frac{2}{5}; 14) 25\frac{4}{7}; 15) 1\frac{1}{4}; 16) 6