Вопрос:

Выполните сложение и вычитание дробей с одинаковыми знаменателями: 1) 7/12 + 3/12; 2) 8/7 + 2/7; 3) 13/55 − 5/55; 4) 11/18 − 7/18; 5) 7/10 + 1/10; 6) 15/8 − 7/8; 7) 12/15 + 7/15; 8) 45/100 + 35/100; 9) 65/76 − 25/76; 10) 4/5 − 2/5; 11) 4/11 + 6/11; 12) 7/8 − 5/8; 13) 76/100 − 67/100; 14) 6/13 + 7/13; 15) 43/56 − 33/56; 16) 6/23 + 20/23; 17) 4/7 + 2/7; 18) 3/4 + 3/4; 19) 7 + 1/5; 20) 3 − 4/7; 21) 1 − 6/11; 22) 1 + 3 5/7; 23) 8 2/5 + 3; 24) 7 − 4/9; 25) 8 7/6 − 6; 26) 4 + 1 3/5; 27) 7 − 2 1/2.

Ответ:

  1. \(\frac{7}{12}+\frac{3}{12}=\frac{10}{12}=\frac{5}{6}\);
  2. \(\frac{8}{7}+\frac{2}{7}=\frac{10}{7}=1\frac{3}{7}\);
  3. \(\frac{13}{55}-\frac{5}{55}=\frac{8}{55}\);
  4. \(\frac{11}{18}-\frac{7}{18}=\frac{4}{18}=\frac{2}{9}\);
  5. \(\frac{7}{10}+\frac{1}{10}=\frac{8}{10}=\frac{4}{5}\);
  6. \(\frac{15}{8}-\frac{7}{8}=\frac{8}{8}=1\);
  7. \(\frac{12}{15}+\frac{7}{15}=\frac{19}{15}=1\frac{4}{15}\);
  8. \(\frac{45}{100}+\frac{35}{100}=\frac{80}{100}=\frac{4}{5}\);
  9. \(\frac{65}{76}-\frac{25}{76}=\frac{40}{76}=\frac{10}{19}\);
  10. \(\frac{4}{5}-\frac{2}{5}=\frac{2}{5}\);
  11. \(\frac{4}{11}+\frac{6}{11}=\frac{10}{11}\);
  12. \(\frac{7}{8}-\frac{5}{8}=\frac{2}{8}=\frac{1}{4}\);
  13. \(\frac{76}{100}-\frac{67}{100}=\frac{9}{100}\);
  14. \(\frac{6}{13}+\frac{7}{13}=1\);
  15. \(\frac{43}{56}-\frac{33}{56}=\frac{10}{56}=\frac{5}{28}\);
  16. \(\frac{6}{23}+\frac{20}{23}=\frac{26}{23}=1\frac{3}{23}\);
  17. \(\frac{4}{7}+\frac{2}{7}=\frac{6}{7}\);
  18. \(\frac{3}{4}+\frac{3}{4}=\frac{6}{4}=1\frac{1}{2}\);
  19. \(7+\frac{1}{5}=7\frac{1}{5}\);
  20. \(3-\frac{4}{7}=2\frac{3}{7}\);
  21. \(1-\frac{6}{11}=\frac{5}{11}\);
  22. \(1+3\frac{5}{7}=4\frac{5}{7}\);
  23. \(8\frac{2}{5}+3=11\frac{2}{5}\);
  24. \(7-\frac{4}{9}=6\frac{5}{9}\);
  25. \(8\frac{7}{6}-6=3\frac{1}{6}\);
  26. \(4+1\frac{3}{5}=5\frac{3}{5}\);
  27. \(7-2\frac{1}{2}=4\frac{1}{2}\).
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