Блок 1. Сложение обыкновенных дробей. Вычислите: 14/27 + 2/27; 11/35 + 12/35; 17/60 + 12/60; 32/55 + 23/55; 5/33 + 6/33; 12/48 + 12/48; 1/2 + 1/3; 1/3 + 1/4; 1/3 + 1/6; 1/10 + 7/100; 3/5 + 9/10; 2/3 + 5/6; 15/24 + 3/8; 7/6 + 16/18; 1/12 + 1/6; 1/4 + 1/8; 1/2 + 3/10; 3/36 + 7/9; 2/5 + 3/20; 1/6 + 5/12; 11/49 + 6/7; 13/24 + 5/8; 3/8 + 6/32; 6/120 + 3/20; 9/16 + 50/100; 1/6 + 1/9; 2/9 + 5/6; 2/9 + 3/8; 2/10 + 6/15; 3/10 + 2/12; 5/12 + 4/15; 3/4 + 5/18.

Если знаменатели одинаковы, складываем числители. Если знаменатели разные, приводим дроби к общему знаменателю, затем складываем и сокращаем результат.

1. \(\frac{14}{27}+\frac{2}{27}=\frac{16}{27}\).
2. \(\frac{11}{35}+\frac{12}{35}=\frac{23}{35}\).
3. \(\frac{17}{60}+\frac{12}{60}=\frac{29}{60}\).
4. \(\frac{32}{55}+\frac{23}{55}=\frac{55}{55}=1\).
5. \(\frac{5}{33}+\frac{6}{33}=\frac{11}{33}=\frac{1}{3}\).
6. \(\frac{12}{48}+\frac{12}{48}=\frac{24}{48}=\frac{1}{2}\).
7. \(\frac{1}{2}+\frac{1}{3}=\frac{3}{6}+\frac{2}{6}=\frac{5}{6}\).
8. \(\frac{1}{3}+\frac{1}{4}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12}\).
9. \(\frac{1}{3}+\frac{1}{6}=\frac{2}{6}+\frac{1}{6}=\frac{1}{2}\).
10. \(\frac{1}{10}+\frac{7}{100}=\frac{10}{100}+\frac{7}{100}=\frac{17}{100}\).
11. \(\frac{3}{5}+\frac{9}{10}=\frac{6}{10}+\frac{9}{10}=\frac{15}{10}=\frac{3}{2}\).
12. \(\frac{2}{3}+\frac{5}{6}=\frac{4}{6}+\frac{5}{6}=\frac{9}{6}=\frac{3}{2}\).
13. \(\frac{15}{24}+\frac{3}{8}=\frac{15}{24}+\frac{9}{24}=1\).
14. \(\frac{7}{6}+\frac{16}{18}=\frac{21}{18}+\frac{16}{18}=\frac{37}{18}\).
15. \(\frac{1}{12}+\frac{1}{6}=\frac{1}{12}+\frac{2}{12}=\frac{1}{4}\).
16. \(\frac{1}{4}+\frac{1}{8}=\frac{2}{8}+\frac{1}{8}=\frac{3}{8}\).
17. \(\frac{1}{2}+\frac{3}{10}=\frac{5}{10}+\frac{3}{10}=\frac{4}{5}\).
18. \(\frac{3}{36}+\frac{7}{9}=\frac{3}{36}+\frac{28}{36}=\frac{31}{36}\).
19. \(\frac{2}{5}+\frac{3}{20}=\frac{8}{20}+\frac{3}{20}=\frac{11}{20}\).
20. \(\frac{1}{6}+\frac{5}{12}=\frac{2}{12}+\frac{5}{12}=\frac{7}{12}\).
21. \(\frac{11}{49}+\frac{6}{7}=\frac{11}{49}+\frac{42}{49}=\frac{53}{49}\).
22. \(\frac{13}{24}+\frac{5}{8}=\frac{13}{24}+\frac{15}{24}=\frac{7}{6}\).
23. \(\frac{3}{8}+\frac{6}{32}=\frac{12}{32}+\frac{6}{32}=\frac{9}{16}\).
24. \(\frac{6}{120}+\frac{3}{20}=\frac{1}{20}+\frac{3}{20}=\frac{1}{5}\).
25. \(\frac{9}{16}+\frac{50}{100}=\frac{9}{16}+\frac{8}{16}=\frac{17}{16}\).
26. \(\frac{1}{6}+\frac{1}{9}=\frac{3}{18}+\frac{2}{18}=\frac{5}{18}\).
27. \(\frac{2}{9}+\frac{5}{6}=\frac{4}{18}+\frac{15}{18}=\frac{19}{18}\).
28. \(\frac{2}{9}+\frac{3}{8}=\frac{16}{72}+\frac{27}{72}=\frac{43}{72}\).
29. \(\frac{2}{10}+\frac{6}{15}=\frac{1}{5}+\frac{2}{5}=\frac{3}{5}\).
30. \(\frac{3}{10}+\frac{2}{12}=\frac{18}{60}+\frac{10}{60}=\frac{7}{15}\).
31. \(\frac{5}{12}+\frac{4}{15}=\frac{25}{60}+\frac{16}{60}=\frac{41}{60}\).
32. \(\frac{3}{4}+\frac{5}{18}=\frac{27}{36}+\frac{10}{36}=\frac{37}{36}\).