Выполните действия: a) 6\frac{3}{14}+3\frac{4}{14}; б) 4\frac{9}{11}+8\frac{8}{11}; в) 8\frac{16}{23}-7\frac{11}{23}; г) 12-\frac{5}{18}; д) 5\frac{1}{6}-3\frac{5}{6}. а) 7\frac{5}{16}+8\frac{3}{16}; б) 5\frac{10}{13}+4\frac{11}{13}; в) 9\frac{25}{32}-7\frac{22}{32}; г) 14-\frac{3}{19}; д) 6\frac{1}{7}-4\frac{5}{7}.

Решим примеры:

1. $$6\frac{3}{14}+3\frac{4}{14}=(6+3)+(\frac{3}{14}+\frac{4}{14})=9+\frac{7}{14}=9\frac{7}{14}=9\frac{1}{2}$$
   Ответ:$$9\frac{1}{2}$$
2. $$4\frac{9}{11}+8\frac{8}{11}=(4+8)+(\frac{9}{11}+\frac{8}{11})=12+\frac{17}{11}=12+1\frac{6}{11}=13\frac{6}{11}$$
   Ответ:$$13\frac{6}{11}$$
3. $$8\frac{16}{23}-7\frac{11}{23}=(8-7)+(\frac{16}{23}-\frac{11}{23})=1+\frac{5}{23}=1\frac{5}{23}$$
   Ответ:$$1\frac{5}{23}$$
4. $$12-\frac{5}{18}=11\frac{18}{18}-\frac{5}{18}=11\frac{13}{18}$$
   Ответ:$$11\frac{13}{18}$$
5. $$5\frac{1}{6}-3\frac{5}{6}=4\frac{7}{6}-3\frac{5}{6}=(4-3)+(\frac{7}{6}-\frac{5}{6})=1+\frac{2}{6}=1\frac{2}{6}=1\frac{1}{3}$$
   Ответ:$$1\frac{1}{3}$$
6. $$7\frac{5}{16}+8\frac{3}{16}=(7+8)+(\frac{5}{16}+\frac{3}{16})=15+\frac{8}{16}=15\frac{8}{16}=15\frac{1}{2}$$
   Ответ:$$15\frac{1}{2}$$
7. $$5\frac{10}{13}+4\frac{11}{13}=(5+4)+(\frac{10}{13}+\frac{11}{13})=9+\frac{21}{13}=9+1\frac{8}{13}=10\frac{8}{13}$$
   Ответ:$$10\frac{8}{13}$$
8. $$9\frac{25}{32}-7\frac{22}{32}=(9-7)+(\frac{25}{32}-\frac{22}{32})=2+\frac{3}{32}=2\frac{3}{32}$$
   Ответ:$$2\frac{3}{32}$$
9. $$14-\frac{3}{19}=13\frac{19}{19}-\frac{3}{19}=13\frac{16}{19}$$
   Ответ:$$13\frac{16}{19}$$
10. $$6\frac{1}{7}-4\frac{5}{7}=5\frac{8}{7}-4\frac{5}{7}=(5-4)+(\frac{8}{7}-\frac{5}{7})=1+\frac{3}{7}=1\frac{3}{7}$$
    Ответ:$$1\frac{3}{7}$$