Ответ:

  1. \(4\frac{5}{9}+7\frac{1}{6}=11+\frac{10}{18}+\frac{3}{18}=11\frac{13}{18}\).

  2. \(6\frac{11}{12}+8\frac{13}{18}=14+\frac{33}{36}+\frac{26}{36}=14+\frac{59}{36}=16\frac{23}{36}\).

  3. \(2\frac{3}{16}+1\frac{7}{24}+3\frac{1}{12}=6+\frac{9}{48}+\frac{14}{48}+\frac{4}{48}=6\frac{27}{48}=6\frac{9}{16}\).

  4. \(5\frac{7}{8}+6\frac{3}{10}=11+\frac{35}{40}+\frac{12}{40}=11\frac{47}{40}=12\frac{7}{40}\).

  5. \(6\frac{3}{8}+2\frac{5}{9}=8+\frac{27}{72}+\frac{40}{72}=8\frac{67}{72}\).

  6. \(1\frac{8}{21}+4\frac{3}{14}+2\frac{2}{7}=7+\frac{16}{42}+\frac{9}{42}+\frac{12}{42}=7\frac{37}{42}\).

Ответ: 1) \(11\frac{13}{18}\); 2) \(16\frac{23}{36}\); 3) \(6\frac{9}{16}\); 4) \(12\frac{7}{40}\); 5) \(8\frac{67}{72}\); 6) \(7\frac{37}{42}\).