5.14 Найдите значение суммы: a) $$-6\frac{2}{6}+4\frac{5}{9}$$; б) $$2\frac{4}{15}-3\frac{11}{20}$$; в) $$-2\frac{2}{15}-4\frac{7}{10}$$; г) $$-8\frac{5}{6}+\frac{7}{10}$$.

5.14 Найдите значение суммы:

а) $$ -6\frac{2}{6}+4\frac{5}{9}=-\frac{38}{6}+\frac{41}{9}=-\frac{19}{3}+\frac{41}{9}=-\frac{19\cdot3}{3\cdot3}+\frac{41}{9}=-\frac{57}{9}+\frac{41}{9}=-\frac{16}{9}=-1\frac{7}{9}$$

Ответ: $$-1\frac{7}{9}$$

б) $$2\frac{4}{15}-3\frac{11}{20}=\frac{34}{15}-\frac{71}{20}=\frac{34\cdot4}{15\cdot4}-\frac{71\cdot3}{20\cdot3}=\frac{136}{60}-\frac{213}{60}=-\frac{77}{60}=-1\frac{17}{60}$$

Ответ: $$-1\frac{17}{60}$$

в) $$-2\frac{2}{15}-4\frac{7}{10}=-\frac{32}{15}-\frac{47}{10}=-\frac{32\cdot2}{15\cdot2}-\frac{47\cdot3}{10\cdot3}=-\frac{64}{30}-\frac{141}{30}=-\frac{205}{30}=-\frac{41}{6}=-6\frac{5}{6}$$

Ответ: $$-6\frac{5}{6}$$

г) $$-8\frac{5}{6}+\frac{7}{10}=-\frac{53}{6}+\frac{7}{10}=-\frac{53\cdot5}{6\cdot5}+\frac{7\cdot3}{10\cdot3}=-\frac{265}{30}+\frac{21}{30}=-\frac{244}{30}=-\frac{122}{15}=-8\frac{2}{15}$$

Ответ: $$-8\frac{2}{15}$$