1) \(\frac{1}{7} + \frac{16}{28}\) 2) \(\frac{6}{18} + \frac{5}{7}\) 3) \(\frac{5}{7} + \frac{3}{14}\) 4) \(\frac{7}{15} + \frac{1}{5}\) 5) \(\frac{7}{15} + \frac{1}{3}\) 6) \(\frac{2}{30} + \frac{3}{5}\) 7) \(\frac{7}{21} + \frac{2}{7}\) 8) \(\frac{5}{20} + \frac{3}{11}\) 9) \(\frac{1}{5} + \frac{8}{20}\) 10) \(\frac{12}{27} + \frac{2}{3}\) 11) \(\frac{15}{81} + \frac{2}{9}\) 12) \(\frac{49}{7} + \frac{7}{7}\) 13) \(\frac{3}{2} + \frac{10}{16}\) 14) \(\frac{10}{64} + \frac{1}{8}\) 15) \(\frac{7}{14} + \frac{3}{27}\) 16) \(\frac{8}{10} + \frac{1}{100}\) 17) \(\frac{11}{100} + \frac{1}{5}\) 18) \(\frac{112}{100} + \frac{10}{10}\) 19) \(\frac{1}{70} + \frac{4}{100}\) 20) \(\frac{14}{30} + \frac{210}{150}\) 21) \(\frac{3}{75} + \frac{71}{450}\) 22) \(\frac{7}{7} - \frac{28}{4}\) 23) \(\frac{4}{5} - \frac{1}{18}\) 24) \(\frac{2}{7} - \frac{3}{14}\) 25) \(\frac{7}{15} - \frac{1}{5}\) 26) \(\frac{10}{15} - \frac{3}{22}\) 27) \(\frac{9}{22} - \frac{3}{4}\) 28) \(\frac{4}{7} - \frac{21}{4}\) 29) \(\frac{3}{5} - \frac{11}{20}\) 30) \(\frac{5}{15} - \frac{3}{5}\) 31) \(\frac{21}{27} - \frac{2}{3}\) 32) \(\frac{63}{81} - \frac{9}{9}\) 33) \(\frac{48}{4} - \frac{4}{7}\) 34) \(\frac{10}{64} - \frac{1}{8}\) 35) \(\frac{3}{27} - \frac{7}{14}\) 36) \(\frac{8}{10} - \frac{1}{100}\) 37) \(\frac{100}{40} - \frac{5}{100}\) 38) \(\frac{112}{100} - \frac{10}{4}\) 39) \(\frac{1}{70} - \frac{210}{13}\) 40) \(\frac{4}{900} - \frac{450}{15}\)

Решение:

1. \(\frac{1}{7} + \frac{16}{28} = \frac{1 \times 4}{7 \times 4} + \frac{16}{28} = \frac{4}{28} + \frac{16}{28} = \frac{20}{28} = \frac{5}{7}\)
2. \(\frac{6}{18} + \frac{5}{7} = \frac{6 \times 7}{18 \times 7} + \frac{5 \times 18}{7 \times 18} = \frac{42}{126} + \frac{90}{126} = \frac{132}{126} = \frac{22}{21}\)
3. \(\frac{5}{7} + \frac{3}{14} = \frac{5 \times 2}{7 \times 2} + \frac{3}{14} = \frac{10}{14} + \frac{3}{14} = \frac{13}{14}\)
4. \(\frac{7}{15} + \frac{1}{5} = \frac{7}{15} + \frac{1 \times 3}{5 \times 3} = \frac{7}{15} + \frac{3}{15} = \frac{10}{15} = \frac{2}{3}\)
5. \(\frac{7}{15} + \frac{1}{3} = \frac{7}{15} + \frac{1 \times 5}{3 \times 5} = \frac{7}{15} + \frac{5}{15} = \frac{12}{15} = \frac{4}{5}\)
6. \(\frac{2}{30} + \frac{3}{5} = \frac{2}{30} + \frac{3 \times 6}{5 \times 6} = \frac{2}{30} + \frac{18}{30} = \frac{20}{30} = \frac{2}{3}\)
7. \(\frac{7}{21} + \frac{2}{7} = \frac{7}{21} + \frac{2 \times 3}{7 \times 3} = \frac{7}{21} + \frac{6}{21} = \frac{13}{21}\)
8. \(\frac{5}{20} + \frac{3}{11} = \frac{5 \times 11}{20 \times 11} + \frac{3 \times 20}{11 \times 20} = \frac{55}{220} + \frac{60}{220} = \frac{115}{220} = \frac{23}{44}\)
9. \(\frac{1}{5} + \frac{8}{20} = \frac{1 \times 4}{5 \times 4} + \frac{8}{20} = \frac{4}{20} + \frac{8}{20} = \frac{12}{20} = \frac{3}{5}\)
10. \(\frac{12}{27} + \frac{2}{3} = \frac{12}{27} + \frac{2 \times 9}{3 \times 9} = \frac{12}{27} + \frac{18}{27} = \frac{30}{27} = \frac{10}{9}\)
11. \(\frac{15}{81} + \frac{2}{9} = \frac{15}{81} + \frac{2 \times 9}{9 \times 9} = \frac{15}{81} + \frac{18}{81} = \frac{33}{81} = \frac{11}{27}\)
12. \(\frac{49}{7} + \frac{7}{7} = 7 + 1 = 8\)
13. \(\frac{3}{2} + \frac{10}{16} = \frac{3 \times 8}{2 \times 8} + \frac{10}{16} = \frac{24}{16} + \frac{10}{16} = \frac{34}{16} = \frac{17}{8}\)
14. \(\frac{10}{64} + \frac{1}{8} = \frac{10}{64} + \frac{1 \times 8}{8 \times 8} = \frac{10}{64} + \frac{8}{64} = \frac{18}{64} = \frac{9}{32}\)
15. \(\frac{7}{14} + \frac{3}{27} = \frac{1}{2} + \frac{1}{9} = \frac{1 \times 9}{2 \times 9} + \frac{1 \times 2}{9 \times 2} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18}\)
16. \(\frac{8}{10} + \frac{1}{100} = \frac{8 \times 10}{10 \times 10} + \frac{1}{100} = \frac{80}{100} + \frac{1}{100} = \frac{81}{100}\)
17. \(\frac{11}{100} + \frac{1}{5} = \frac{11}{100} + \frac{1 \times 20}{5 \times 20} = \frac{11}{100} + \frac{20}{100} = \frac{31}{100}\)
18. \(\frac{112}{100} + \frac{10}{10} = \frac{112}{100} + 1 = \frac{112}{100} + \frac{100}{100} = \frac{212}{100} = \frac{53}{25}\)
19. \(\frac{1}{70} + \frac{4}{100} = \frac{1 \times 2}{70 \times 2} + \frac{4 \times 7}{100 \times 7} = \frac{2}{140} + \frac{28}{700} = \frac{10}{700} + \frac{28}{700} = \frac{38}{700} = \frac{19}{350}\)
20. \(\frac{14}{30} + \frac{210}{150} = \frac{14 \times 5}{30 \times 5} + \frac{210}{150} = \frac{70}{150} + \frac{210}{150} = \frac{280}{150} = \frac{28}{15}\)
21. \(\frac{3}{75} + \frac{71}{450} = \frac{3 \times 6}{75 \times 6} + \frac{71}{450} = \frac{18}{450} + \frac{71}{450} = \frac{89}{450}\)
22. \(\frac{7}{7} - \frac{28}{4} = 1 - 7 = -6\)
23. \(\frac{4}{5} - \frac{1}{18} = \frac{4 \times 18}{5 \times 18} - \frac{1 \times 5}{18 \times 5} = \frac{72}{90} - \frac{5}{90} = \frac{67}{90}\)
24. \(\frac{2}{7} - \frac{3}{14} = \frac{2 \times 2}{7 \times 2} - \frac{3}{14} = \frac{4}{14} - \frac{3}{14} = \frac{1}{14}\)
25. \(\frac{7}{15} - \frac{1}{5} = \frac{7}{15} - \frac{1 \times 3}{5 \times 3} = \frac{7}{15} - \frac{3}{15} = \frac{4}{15}\)
26. \(\frac{10}{15} - \frac{3}{22} = \frac{2}{3} - \frac{3}{22} = \frac{2 \times 22}{3 \times 22} - \frac{3 \times 3}{22 \times 3} = \frac{44}{66} - \frac{9}{66} = \frac{35}{66}\)
27. \(\frac{9}{22} - \frac{3}{4} = \frac{9 \times 2}{22 \times 2} - \frac{3 \times 11}{4 \times 11} = \frac{18}{44} - \frac{33}{44} = -\frac{15}{44}\)
28. \(\frac{4}{7} - \frac{21}{4} = \frac{4 \times 4}{7 \times 4} - \frac{21 \times 7}{4 \times 7} = \frac{16}{28} - \frac{147}{28} = -\frac{131}{28}\)
29. \(\frac{3}{5} - \frac{11}{20} = \frac{3 \times 4}{5 \times 4} - \frac{11}{20} = \frac{12}{20} - \frac{11}{20} = \frac{1}{20}\)
30. \(\frac{5}{15} - \frac{3}{5} = \frac{1}{3} - \frac{3}{5} = \frac{1 \times 5}{3 \times 5} - \frac{3 \times 3}{5 \times 3} = \frac{5}{15} - \frac{9}{15} = -\frac{4}{15}\)
31. \(\frac{21}{27} - \frac{2}{3} = \frac{7}{9} - \frac{2 \times 3}{3 \times 3} = \frac{7}{9} - \frac{6}{9} = \frac{1}{9}\)
32. \(\frac{63}{81} - \frac{9}{9} = \frac{7}{9} - 1 = \frac{7}{9} - \frac{9}{9} = -\frac{2}{9}\)
33. \(\frac{48}{4} - \frac{4}{7} = 12 - \frac{4}{7} = \frac{12 \times 7}{7} - \frac{4}{7} = \frac{84}{7} - \frac{4}{7} = \frac{80}{7}\)
34. \(\frac{10}{64} - \frac{1}{8} = \frac{5}{32} - \frac{1 \times 4}{8 \times 4} = \frac{5}{32} - \frac{4}{32} = \frac{1}{32}\)
35. \(\frac{3}{27} - \frac{7}{14} = \frac{1}{9} - \frac{1}{2} = \frac{1 \times 2}{9 \times 2} - \frac{1 \times 9}{2 \times 9} = \frac{2}{18} - \frac{9}{18} = -\frac{7}{18}\)
36. \(\frac{8}{10} - \frac{1}{100} = \frac{4}{5} - \frac{1}{100} = \frac{4 \times 20}{5 \times 20} - \frac{1}{100} = \frac{80}{100} - \frac{1}{100} = \frac{79}{100}\)
37. \(\frac{100}{40} - \frac{5}{100} = \frac{5}{2} - \frac{1}{20} = \frac{5 \times 10}{2 \times 10} - \frac{1}{20} = \frac{50}{20} - \frac{1}{20} = \frac{49}{20}\)
38. \(\frac{112}{100} - \frac{10}{4} = \frac{28}{25} - \frac{5}{2} = \frac{28 \times 2}{25 \times 2} - \frac{5 \times 25}{2 \times 25} = \frac{56}{50} - \frac{125}{50} = -\frac{69}{50}\)
39. \(\frac{1}{70} - \frac{210}{13} = \frac{1 \times 13}{70 \times 13} - \frac{210 \times 70}{13 \times 70} = \frac{13}{910} - \frac{14700}{910} = -\frac{14687}{910}\)
40. \(\frac{4}{900} - \frac{450}{15} = \frac{1}{225} - 30 = \frac{1}{225} - \frac{30 \times 225}{225} = \frac{1 - 6750}{225} = -\frac{6749}{225}\)

Ответ: 1) \(\frac{5}{7}\); 2) \(\frac{22}{21}\); 3) \(\frac{13}{14}\); 4) \(\frac{2}{3}\); 5) \(\frac{4}{5}\); 6) \(\frac{2}{3}\); 7) \(\frac{13}{21}\); 8) \(\frac{23}{44}\); 9) \(\frac{3}{5}\); 10) \(\frac{10}{9}\); 11) \(\frac{11}{27}\); 12) 8; 13) \(\frac{17}{8}\); 14) \(\frac{9}{32}\); 15) \(\frac{11}{18}\); 16) \(\frac{81}{100}\); 17) \(\frac{31}{100}\); 18) \(\frac{53}{25}\); 19) \(\frac{19}{350}\); 20) \(\frac{28}{15}\); 21) \(\frac{89}{450}\); 22) -6; 23) \(\frac{67}{90}\); 24) \(\frac{1}{14}\); 25) \(\frac{4}{15}\); 26) \(\frac{35}{66}\); 27) -\(\frac{15}{44}\); 28) -\(\frac{131}{28}\); 29) \(\frac{1}{20}\); 30) -\(\frac{4}{15}\); 31) \(\frac{1}{9}\); 32) -\(\frac{2}{9}\); 33) \(\frac{80}{7}\); 34) \(\frac{1}{32}\); 35) -\(\frac{7}{18}\); 36) \(\frac{79}{100}\); 37) \(\frac{49}{20}\); 38) -\(\frac{69}{50}\); 39) -\(\frac{14687}{910}\); 40) -\(\frac{6749}{225}\).