Ответ:

Приводим дроби в каждом примере к общему знаменателю и складываем числители.

  1. а) \(\frac{1}{4}+\frac{9}{10}=\frac{5}{20}+\frac{18}{20}=\frac{23}{20}=1\frac{3}{20}\).
  2. б) \(\frac{1}{8}+\frac{3}{5}=\frac{5}{40}+\frac{24}{40}=\frac{29}{40}\).
  3. в) \(\frac{1}{6}+\frac{7}{9}=\frac{3}{18}+\frac{14}{18}=\frac{17}{18}\).
  4. г) \(\frac{1}{3}+\frac{5}{7}=\frac{7}{21}+\frac{15}{21}=\frac{22}{21}=1\frac{1}{21}\).
  5. д) \(\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{10}=\frac{9}{10}\).
  6. е) \(\frac{2}{5}+\frac{5}{8}=\frac{16}{40}+\frac{25}{40}=\frac{41}{40}=1\frac{1}{40}\).
  7. ж) \(\frac{3}{4}+\frac{1}{6}=\frac{9}{12}+\frac{2}{12}=\frac{11}{12}\).
  8. з) \(\frac{1}{3}+\frac{5}{12}=\frac{4}{12}+\frac{5}{12}=\frac{9}{12}=\frac{3}{4}\).
  9. и) \(\frac{1}{5}+\frac{3}{8}=\frac{8}{40}+\frac{15}{40}=\frac{23}{40}\).
  10. к) \(\frac{1}{6}+\frac{1}{5}=\frac{5}{30}+\frac{6}{30}=\frac{11}{30}\).
  11. л) \(\frac{2}{7}+\frac{4}{9}=\frac{18}{63}+\frac{28}{63}=\frac{46}{63}\).
  12. м) \(\frac{1}{5}+\frac{5}{8}=\frac{8}{40}+\frac{25}{40}=\frac{33}{40}\).
  13. н) \(\frac{1}{4}+\frac{3}{10}=\frac{5}{20}+\frac{6}{20}=\frac{11}{20}\).
  14. о) \(\frac{1}{6}+\frac{3}{4}=\frac{2}{12}+\frac{9}{12}=\frac{11}{12}\).
  15. п) \(\frac{3}{8}+\frac{7}{25}=\frac{75}{200}+\frac{56}{200}=\frac{131}{200}\).
  16. р) \(\frac{5}{6}+\frac{13}{72}=\frac{60}{72}+\frac{13}{72}=\frac{73}{72}=1\frac{1}{72}\).