Ответ:
- Приводим к общему знаменателю: \(\frac{4}{5}+\frac{3}{7}=\frac{28}{35}+\frac{15}{35}=\frac{43}{35}=1\frac{8}{35}\).
- \(\frac{5}{9}-\frac{7}{18}=\frac{10}{18}-\frac{7}{18}=\frac{3}{18}=\frac{1}{6}\).
- \(\frac{5}{21}+\frac{5}{28}=\frac{20}{84}+\frac{15}{84}=\frac{35}{84}=\frac{5}{12}\).
- \(\frac{15}{19}+\frac{27}{38}=\frac{30}{38}+\frac{27}{38}=\frac{57}{38}=1\frac{1}{2}\).
- \(\frac{7}{18}-\frac{1}{5}+\frac{1}{9}=\frac{35}{90}-\frac{18}{90}+\frac{10}{90}=\frac{27}{90}=\frac{3}{10}\).
Ответ: 1) \(1\frac{8}{35}\); 2) \(\frac{1}{6}\); 3) \(\frac{5}{12}\); 4) \(1\frac{1}{2}\); 5) \(\frac{3}{10}\).
