Вопрос:

67. Выполните сложение или вычитание дробей: а) 1/3 + 3/8; б) 2/7 + 5/14; в) 3/5 + 4/15; г) 1/8 + 3/16; д) 2/9 + 5/18; е) 17/33 − 5/22; ж) 27/76 − 0; з) 9/20 + 5/8; и) 2/7 + 13/28; к) 5/13 − 14/39; л) 1 17/33 + 5/22; м) 1 5/12 − 7/10; н) 7 7/8 − 1 9/10; о) 12 3/10 − 5 11/15; п) 7 7/15 − 1 3/20.

Ответ:

  1. \(\frac{1}{3}+\frac{3}{8}=\frac{8}{24}+\frac{9}{24}=\frac{17}{24}\).
  2. \(\frac{2}{7}+\frac{5}{14}=\frac{4}{14}+\frac{5}{14}=\frac{9}{14}\).
  3. \(\frac{3}{5}+\frac{4}{15}=\frac{9}{15}+\frac{4}{15}=\frac{13}{15}\).
  4. \(\frac{1}{8}+\frac{3}{16}=\frac{2}{16}+\frac{3}{16}=\frac{5}{16}\).
  5. \(\frac{2}{9}+\frac{5}{18}=\frac{4}{18}+\frac{5}{18}=\frac{1}{2}\).
  6. \(\frac{17}{33}-\frac{5}{22}=\frac{34}{66}-\frac{15}{66}=\frac{19}{66}\).
  7. \(\frac{27}{76}-0=\frac{27}{76}\).
  8. \(\frac{9}{20}+\frac{5}{8}=\frac{18}{40}+\frac{25}{40}=\frac{43}{40}=1\frac{3}{40}\).
  9. \(\frac{2}{7}+\frac{13}{28}=\frac{8}{28}+\frac{13}{28}=\frac{3}{4}\).
  10. \(\frac{5}{13}-\frac{14}{39}=\frac{15}{39}-\frac{14}{39}=\frac{1}{39}\).
  11. \(1\frac{17}{33}+\frac{5}{22}=1+\frac{34}{66}+\frac{15}{66}=1\frac{49}{66}\).
  12. \(1\frac{5}{12}-\frac{7}{10}=1+\frac{25}{60}-\frac{42}{60}=\frac{43}{60}\).
  13. \(7\frac{7}{8}-1\frac{9}{10}=6+\frac{35}{40}-\frac{36}{40}=6\frac{39}{40}\).
  14. \(12\frac{3}{10}-5\frac{11}{15}=7+\frac{9}{30}-\frac{22}{30}=6\frac{29}{30}\).
  15. \(7\frac{7}{15}-1\frac{3}{20}=6+\frac{28}{60}-\frac{9}{60}=6\frac{19}{20}\).

Ответ: \(\frac{17}{24};\ \frac{9}{14};\ \frac{13}{15};\ \frac{5}{16};\ \frac{1}{2};\ \frac{19}{66};\ \frac{27}{76};\ 1\frac{3}{40};\ \frac{3}{4};\ \frac{1}{39};\ 1\frac{49}{66};\ \frac{43}{60};\ 6\frac{39}{40};\ 6\frac{29}{30};\ 6\frac{19}{20}\).