376. Выполните сложение: a) $$3\frac{1}{7}+5\frac{3}{14}$$; б) $$5\frac{7}{8}+2\frac{5}{12}$$; в) $$7\frac{3}{8}+1\frac{5}{6}$$; г) $$1\frac{1}{9}+2\frac{2}{3}$$; д) $$7\frac{2}{9}+4$$; е) $$8\frac{3}{5}+\frac{1}{15}$$; ж) $$7+\frac{3}{5}$$; з) $$\frac{2}{3}+4\frac{3}{8}$$.

Решим примеры на сложение смешанных чисел: а) $$3\frac{1}{7}+5\frac{3}{14} = 3\frac{2}{14}+5\frac{3}{14} = (3+5)+(\frac{2}{14}+\frac{3}{14}) = 8 + \frac{5}{14} = 8\frac{5}{14}$$. б) $$5\frac{7}{8}+2\frac{5}{12} = 5\frac{21}{24}+2\frac{10}{24} = (5+2)+(\frac{21}{24}+\frac{10}{24}) = 7 + \frac{31}{24} = 7 + 1\frac{7}{24} = 8\frac{7}{24}$$. в) $$7\frac{3}{8}+1\frac{5}{6} = 7\frac{9}{24}+1\frac{20}{24} = (7+1)+(\frac{9}{24}+\frac{20}{24}) = 8 + \frac{29}{24} = 8 + 1\frac{5}{24} = 9\frac{5}{24}$$. г) $$1\frac{1}{9}+2\frac{2}{3} = 1\frac{1}{9}+2\frac{6}{9} = (1+2)+(\frac{1}{9}+\frac{6}{9}) = 3 + \frac{7}{9} = 3\frac{7}{9}$$. д) $$7\frac{2}{9}+4 = (7+4) + \frac{2}{9} = 11 + \frac{2}{9} = 11\frac{2}{9}$$. е) $$8\frac{3}{5}+\frac{1}{15} = 8\frac{9}{15}+\frac{1}{15} = 8 + \frac{10}{15} = 8 + \frac{2}{3} = 8\frac{2}{3}$$. ж) $$7+\frac{3}{5} = 7\frac{3}{5}$$. з) $$\frac{2}{3}+4\frac{3}{8} = 4\frac{3}{8} + \frac{2}{3} = 4\frac{9}{24} + \frac{16}{24} = 4 + \frac{25}{24} = 4 + 1\frac{1}{24} = 5\frac{1}{24}$$.