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