Домашнее задание: 5/9 + 1/6; 2 1/4 + 3 2/3; 1 7/8 + 2 5/12; 4/5 + 3/10; 5 2/9 + 1 4/6.

1. \(\frac{5}{9}+\frac{1}{6}=\frac{10}{18}+\frac{3}{18}=\frac{13}{18}\).
2. \(2\frac{1}{4}+3\frac{2}{3}=5+\frac{3}{12}+\frac{8}{12}=5\frac{11}{12}\).
3. \(1\frac{7}{8}+2\frac{5}{12}=3+\frac{21}{24}+\frac{10}{24}=4\frac{7}{24}\).
4. \(\frac{4}{5}+\frac{3}{10}=\frac{8}{10}+\frac{3}{10}=\frac{11}{10}=1\frac{1}{10}\).
5. Сокращаем \(\frac{4}{6}=\frac{2}{3}\), затем складываем: \(5\frac{2}{9}+1\frac{4}{6}=6+\frac{2}{9}+\frac{6}{9}=6\frac{8}{9}\).

Ответ: 13/18; 5 11/12; 4 7/24; 1 1/10; 6 8/9.