5. Найдите значение выражения. a) $$7\frac{1}{2}+3\frac{2}{3}\cdot 6=$$ б) $$(9-1\frac{1}{7})\cdot 7=$$ в) $$(6+1\frac{1}{3})\cdot 30=$$ г) $$7\frac{7}{11}\cdot 3\frac{2}{5}+7\frac{7}{11}\cdot \frac{7}{5} =$$ д) $$5\frac{3}{4}\cdot 3\frac{5}{7}+3\frac{5}{7}\cdot 1\frac{1}{4}=$$ e) $$8\frac{3}{5}\cdot 6\frac{1}{7}-1\frac{1}{7}\cdot 8\frac{3}{5}=$$ ж) $$15\frac{3}{8}\cdot 4\frac{1}{6}-4\frac{1}{6}\cdot 15\frac{3}{8}=$$ з) $$10\frac{5}{11}\cdot 4\frac{1}{3}+10\frac{5}{11}\cdot 6\frac{2}{3}=$$

Решим по действиям каждое выражение. а) $$7\frac{1}{2}+3\frac{2}{3}\cdot 6=$$ 1) $$3\frac{2}{3} \cdot 6 = \frac{11}{3} \cdot 6 = \frac{11 \cdot 6}{3} = \frac{66}{3} = 22$$ 2) $$7\frac{1}{2} + 22 = 7 + \frac{1}{2} + 22 = 29 + \frac{1}{2} = 29\frac{1}{2}$$ Ответ: $$29\frac{1}{2}$$ б) $$(9-1\frac{1}{7})\cdot 7=$$ 1) $$9 - 1\frac{1}{7} = 9 - \frac{8}{7} = \frac{9 \cdot 7}{7} - \frac{8}{7} = \frac{63}{7} - \frac{8}{7} = \frac{55}{7}$$ 2) $$\frac{55}{7} \cdot 7 = \frac{55 \cdot 7}{7} = 55$$ Ответ: 55 в) $$(6+1\frac{1}{3})\cdot 30=$$ 1) $$6 + 1\frac{1}{3} = 6 + \frac{4}{3} = \frac{6 \cdot 3}{3} + \frac{4}{3} = \frac{18}{3} + \frac{4}{3} = \frac{22}{3}$$ 2) $$\frac{22}{3} \cdot 30 = \frac{22 \cdot 30}{3} = 22 \cdot 10 = 220$$ Ответ: 220 г) $$7\frac{7}{11}\cdot 3\frac{2}{5}+7\frac{7}{11}\cdot \frac{7}{5} =$$ $$7\frac{7}{11}\cdot 3\frac{2}{5}+7\frac{7}{11}\cdot \frac{7}{5} = 7\frac{7}{11} \cdot (3\frac{2}{5} + \frac{7}{5}) = 7\frac{7}{11} \cdot (3\frac{2}{5} + 1\frac{2}{5}) = 7\frac{7}{11} \cdot 5 = \frac{84}{11} \cdot 5 = \frac{84 \cdot 5}{11} = \frac{420}{11} = 38\frac{2}{11}$$ Ответ: $$38\frac{2}{11}$$ д) $$5\frac{3}{4}\cdot 3\frac{5}{7}+3\frac{5}{7}\cdot 1\frac{1}{4}=$$ $$5\frac{3}{4}\cdot 3\frac{5}{7}+3\frac{5}{7}\cdot 1\frac{1}{4} = 3\frac{5}{7} \cdot (5\frac{3}{4} + 1\frac{1}{4}) = 3\frac{5}{7} \cdot (5 + \frac{3}{4} + 1 + \frac{1}{4}) = 3\frac{5}{7} \cdot (6 + \frac{3}{4} + \frac{1}{4}) = 3\frac{5}{7} \cdot (6 + 1) = 3\frac{5}{7} \cdot 7 = \frac{26}{7} \cdot 7 = 26$$ Ответ: 26 е) $$8\frac{3}{5}\cdot 6\frac{1}{7}-1\frac{1}{7}\cdot 8\frac{3}{5}=$$ $$8\frac{3}{5}\cdot 6\frac{1}{7}-1\frac{1}{7}\cdot 8\frac{3}{5} = 8\frac{3}{5} \cdot (6\frac{1}{7} - 1\frac{1}{7}) = 8\frac{3}{5} \cdot (6 - 1 + \frac{1}{7} - \frac{1}{7}) = 8\frac{3}{5} \cdot 5 = \frac{43}{5} \cdot 5 = 43$$ Ответ: 43 ж) $$15\frac{3}{8}\cdot 4\frac{1}{6}-4\frac{1}{6}\cdot 15\frac{3}{8}=$$ $$15\frac{3}{8}\cdot 4\frac{1}{6}-4\frac{1}{6}\cdot 15\frac{3}{8} = 15\frac{3}{8} \cdot 4\frac{1}{6} - 15\frac{3}{8} \cdot 4\frac{1}{6} = 0$$ Ответ: 0 з) $$10\frac{5}{11}\cdot 4\frac{1}{3}+10\frac{5}{11}\cdot 6\frac{2}{3}=$$ $$10\frac{5}{11}\cdot 4\frac{1}{3}+10\frac{5}{11}\cdot 6\frac{2}{3} = 10\frac{5}{11} \cdot (4\frac{1}{3} + 6\frac{2}{3}) = 10\frac{5}{11} \cdot (4+6 + \frac{1}{3} + \frac{2}{3}) = 10\frac{5}{11} \cdot (10 + 1) = 10\frac{5}{11} \cdot 11 = \frac{115}{11} \cdot 11 = 115$$ Ответ: 115