Вопрос:

Задание 118. Выполните действие. А. Запишите ответ в виде несократимой дроби или в виде смешанного числа с несократимой дробной частью.

Ответ:

Решение:

  1. \( \frac{3}{8} + \frac{1}{8} + \frac{1}{2} = \frac{3+1}{8} + \frac{1}{2} = \frac{4}{8} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2} = 1 \)
  2. \( \frac{5}{21} + \frac{2}{21} = \frac{5+2}{21} = \frac{7}{21} = \frac{1}{3} \)
  3. \( \frac{8}{15} + \frac{2}{15} = \frac{8+2}{15} = \frac{10}{15} = \frac{2}{3} \)
  4. \( \frac{9}{35} + \frac{6}{35} = \frac{9+6}{35} = \frac{15}{35} = \frac{3}{7} \)
  5. \( \frac{3}{22} + \frac{8}{22} = \frac{3+8}{22} = \frac{11}{22} = \frac{1}{2} \)
  6. \( \frac{4}{9} + \frac{2}{9} = \frac{4+2}{9} = \frac{6}{9} = \frac{2}{3} \)
  7. \( \frac{10}{21} + \frac{4}{21} = \frac{10+4}{21} = \frac{14}{21} = \frac{2}{3} \)
  8. \( \frac{11}{12} - \frac{5}{12} = \frac{11-5}{12} = \frac{6}{12} = \frac{1}{2} \)
  9. \( \frac{13}{15} - \frac{8}{15} = \frac{13-8}{15} = \frac{5}{15} = \frac{1}{3} \)
  10. \( \frac{43}{50} - \frac{13}{50} = \frac{43-13}{50} = \frac{30}{50} = \frac{3}{5} \)
  11. \( \frac{13}{24} - \frac{5}{24} = \frac{13-5}{24} = \frac{8}{24} = \frac{1}{3} \)
  12. \( \frac{25}{42} - \frac{11}{42} = \frac{25-11}{42} = \frac{14}{42} = \frac{1}{3} \)
  13. \( \frac{7}{15} - \frac{2}{15} = \frac{7-2}{15} = \frac{5}{15} = \frac{1}{3} \)
  14. \( \frac{29}{33} - \frac{7}{33} = \frac{29-7}{33} = \frac{22}{33} = \frac{2}{3} \)
  15. \( \frac{9}{10} + \frac{3}{10} = \frac{9+3}{10} = \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5} \)
  16. \( \frac{5}{9} + \frac{7}{9} = \frac{5+7}{9} = \frac{12}{9} = \frac{4}{3} = 1\frac{1}{3} \)
  17. \( \frac{7}{15} + \frac{13}{15} = \frac{7+13}{15} = \frac{20}{15} = \frac{4}{3} = 1\frac{1}{3} \)
  18. \( \frac{14}{25} + \frac{16}{25} = \frac{14+16}{25} = \frac{30}{25} = \frac{6}{5} = 1\frac{1}{5} \)
  19. \( \frac{11}{14} + \frac{5}{14} = \frac{11+5}{14} = \frac{16}{14} = \frac{8}{7} = 1\frac{1}{7} \)
  20. \( \frac{13}{22} + \frac{15}{22} = \frac{13+15}{22} = \frac{28}{22} = \frac{14}{11} = 1\frac{3}{11} \)
  21. \( \frac{7}{12} + \frac{11}{12} = \frac{7+11}{12} = \frac{18}{12} = \frac{3}{2} = 1\frac{1}{2} \)

Ответ: 1; 1/3; 2/3; 3/7; 1/2; 2/3; 2/3; 1/2; 1/3; 3/5; 1/3; 1/3; 1/3; 2/3; 1 1/5; 1 1/3; 1 1/3; 1 1/5; 1 1/7; 1 3/11; 1 1/2.