Выполни действие: 1) \(\frac{11}{18} + \frac{5}{12} =\) 2) \(2\frac{1}{8} + 3\frac{3}{16} =\) 3) \(\frac{3}{4} + \frac{5}{7} =\) 4) \(4\frac{7}{25} + 2\frac{4}{10} =\) 5) \(\frac{5}{12} + 5\frac{2}{21} =\) 6) \(1\frac{11}{18} + \frac{7}{15} =\) 7) \(\frac{17}{24} + \frac{25}{36} =\) 8) \(3\frac{7}{30} + 1\frac{9}{20} =\) 9) \(\frac{8}{27} + \frac{7}{18} =\) 10) \(2\frac{2}{3} + 1\frac{1}{2} =\) 11) \(\frac{16}{45} + 1\frac{7}{15} =\) 12) \(1\frac{3}{11} + 2\frac{2}{3} =\) 13) \(\frac{7}{8} + \frac{1}{3} =\) 14) \(2\frac{7}{16} + \frac{5}{32} =\) 15) \(1\frac{3}{4} + 4\frac{9}{10} =\) 16) \(3\frac{4}{7} + 1\frac{8}{11} =\) 17) \(\frac{7}{9} + 8\frac{13}{27} =\)

Решим примеры по порядку:

1. \(\frac{11}{18} + \frac{5}{12} = \frac{11 \cdot 2}{18 \cdot 2} + \frac{5 \cdot 3}{12 \cdot 3} = \frac{22}{36} + \frac{15}{36} = \frac{22+15}{36} = \frac{37}{36} = 1\frac{1}{36}\)
2. \(2\frac{1}{8} + 3\frac{3}{16} = 2 + 3 + \frac{1}{8} + \frac{3}{16} = 5 + \frac{1 \cdot 2}{8 \cdot 2} + \frac{3}{16} = 5 + \frac{2}{16} + \frac{3}{16} = 5 + \frac{5}{16} = 5\frac{5}{16}\)
3. \(\frac{3}{4} + \frac{5}{7} = \frac{3 \cdot 7}{4 \cdot 7} + \frac{5 \cdot 4}{7 \cdot 4} = \frac{21}{28} + \frac{20}{28} = \frac{21+20}{28} = \frac{41}{28} = 1\frac{13}{28}\)
4. \(4\frac{7}{25} + 2\frac{4}{10} = 4 + 2 + \frac{7}{25} + \frac{4}{10} = 6 + \frac{7 \cdot 2}{25 \cdot 2} + \frac{4 \cdot 5}{10 \cdot 5} = 6 + \frac{14}{50} + \frac{20}{50} = 6 + \frac{34}{50} = 6 + \frac{17}{25} = 6\frac{17}{25}\)
5. \(\frac{5}{12} + 5\frac{2}{21} = 5 + \frac{5}{12} + \frac{2}{21} = 5 + \frac{5 \cdot 7}{12 \cdot 7} + \frac{2 \cdot 4}{21 \cdot 4} = 5 + \frac{35}{84} + \frac{8}{84} = 5 + \frac{43}{84} = 5\frac{43}{84}\)
6. \(1\frac{11}{18} + \frac{7}{15} = 1 + \frac{11}{18} + \frac{7}{15} = 1 + \frac{11 \cdot 5}{18 \cdot 5} + \frac{7 \cdot 6}{15 \cdot 6} = 1 + \frac{55}{90} + \frac{42}{90} = 1 + \frac{97}{90} = 1 + 1\frac{7}{90} = 2\frac{7}{90}\)
7. \(\frac{17}{24} + \frac{25}{36} = \frac{17 \cdot 3}{24 \cdot 3} + \frac{25 \cdot 2}{36 \cdot 2} = \frac{51}{72} + \frac{50}{72} = \frac{101}{72} = 1\frac{29}{72}\)
8. \(3\frac{7}{30} + 1\frac{9}{20} = 3 + 1 + \frac{7}{30} + \frac{9}{20} = 4 + \frac{7 \cdot 2}{30 \cdot 2} + \frac{9 \cdot 3}{20 \cdot 3} = 4 + \frac{14}{60} + \frac{27}{60} = 4 + \frac{41}{60} = 4\frac{41}{60}\)
9. \(\frac{8}{27} + \frac{7}{18} = \frac{8 \cdot 2}{27 \cdot 2} + \frac{7 \cdot 3}{18 \cdot 3} = \frac{16}{54} + \frac{21}{54} = \frac{37}{54}\)
10. \(2\frac{2}{3} + 1\frac{1}{2} = 2 + 1 + \frac{2}{3} + \frac{1}{2} = 3 + \frac{2 \cdot 2}{3 \cdot 2} + \frac{1 \cdot 3}{2 \cdot 3} = 3 + \frac{4}{6} + \frac{3}{6} = 3 + \frac{7}{6} = 3 + 1\frac{1}{6} = 4\frac{1}{6}\)
11. \(\frac{16}{45} + 1\frac{7}{15} = 1 + \frac{16}{45} + \frac{7}{15} = 1 + \frac{16}{45} + \frac{7 \cdot 3}{15 \cdot 3} = 1 + \frac{16}{45} + \frac{21}{45} = 1 + \frac{37}{45} = 1\frac{37}{45}\)
12. \(1\frac{3}{11} + 2\frac{2}{3} = 1 + 2 + \frac{3}{11} + \frac{2}{3} = 3 + \frac{3 \cdot 3}{11 \cdot 3} + \frac{2 \cdot 11}{3 \cdot 11} = 3 + \frac{9}{33} + \frac{22}{33} = 3 + \frac{31}{33} = 3\frac{31}{33}\)
13. \(\frac{7}{8} + \frac{1}{3} = \frac{7 \cdot 3}{8 \cdot 3} + \frac{1 \cdot 8}{3 \cdot 8} = \frac{21}{24} + \frac{8}{24} = \frac{29}{24} = 1\frac{5}{24}\)
14. \(2\frac{7}{16} + \frac{5}{32} = 2 + \frac{7}{16} + \frac{5}{32} = 2 + \frac{7 \cdot 2}{16 \cdot 2} + \frac{5}{32} = 2 + \frac{14}{32} + \frac{5}{32} = 2 + \frac{19}{32} = 2\frac{19}{32}\)
15. \(1\frac{3}{4} + 4\frac{9}{10} = 1 + 4 + \frac{3}{4} + \frac{9}{10} = 5 + \frac{3 \cdot 5}{4 \cdot 5} + \frac{9 \cdot 2}{10 \cdot 2} = 5 + \frac{15}{20} + \frac{18}{20} = 5 + \frac{33}{20} = 5 + 1\frac{13}{20} = 6\frac{13}{20}\)
16. \(3\frac{4}{7} + 1\frac{8}{11} = 3 + 1 + \frac{4}{7} + \frac{8}{11} = 4 + \frac{4 \cdot 11}{7 \cdot 11} + \frac{8 \cdot 7}{11 \cdot 7} = 4 + \frac{44}{77} + \frac{56}{77} = 4 + \frac{100}{77} = 4 + 1\frac{23}{77} = 5\frac{23}{77}\)
17. \(\frac{7}{9} + 8\frac{13}{27} = 8 + \frac{7}{9} + \frac{13}{27} = 8 + \frac{7 \cdot 3}{9 \cdot 3} + \frac{13}{27} = 8 + \frac{21}{27} + \frac{13}{27} = 8 + \frac{34}{27} = 8 + 1\frac{7}{27} = 9\frac{7}{27}\)

Ответ: 1) \(1\frac{1}{36}\); 2) \(5\frac{5}{16}\); 3) \(1\frac{13}{28}\); 4) \(6\frac{17}{25}\); 5) \(5\frac{43}{84}\); 6) \(2\frac{7}{90}\); 7) \(1\frac{29}{72}\); 8) \(4\frac{41}{60}\); 9) \(\frac{37}{54}\); 10) \(4\frac{1}{6}\); 11) \(1\frac{37}{45}\); 12) \(3\frac{31}{33}\); 13) \(1\frac{5}{24}\); 14) \(2\frac{19}{32}\); 15) \(6\frac{13}{20}\); 16) \(5\frac{23}{77}\); 17) \(9\frac{7}{27}\)

Ты отлично справился с этими примерами! Продолжай в том же духе, и у тебя все получится!