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

а) $$(7\frac{1}{2}+3\frac{2}{3})\cdot 6=$$ $$( \frac{15}{2} + \frac{11}{3} ) \cdot 6 =$$ $$(\frac{15 \cdot 3 + 11 \cdot 2}{6}) \cdot 6 = $$ $$\frac{45+22}{6} \cdot 6 =$$ $$\frac{67}{6} \cdot 6 = 67$$

Ответ: 67

б) $$(9-1\frac{1}{7})\cdot 7=$$ $$( \frac{9}{1} - \frac{8}{7} ) \cdot 7 =$$ $$(\frac{9 \cdot 7 - 8}{7} ) \cdot 7 =$$ $$\frac{63-8}{7} \cdot 7 =$$ $$\frac{55}{7} \cdot 7 = 55$$

Ответ: 55

в) $$(6+1\frac{1}{3}\cdot 2)\cdot 30=$$ $$(6 + \frac{4}{3} \cdot 2 ) \cdot 30 =$$ $$(6 + \frac{8}{3} ) \cdot 30 =$$ $$(\frac{6 \cdot 3 + 8}{3} ) \cdot 30 =$$ $$\frac{18+8}{3} \cdot 30 =$$ $$\frac{26}{3} \cdot 30 = 26 \cdot 10 = 260$$

Ответ: 260

г) $$7\frac{7}{11}\cdot 3\frac{2}{5}+7\frac{7}{11}\cdot 7\frac{3}{5}=$$ $$7\frac{7}{11} \cdot ( 3\frac{2}{5} + 7\frac{3}{5} ) =$$ $$7\frac{7}{11} \cdot (10 + \frac{2+3}{5} ) =$$ $$7\frac{7}{11} \cdot (10 + \frac{5}{5} ) =$$ $$7\frac{7}{11} \cdot 11 = \frac{84}{11} \cdot 11 = 84$$

Ответ: 84

д) $$5\frac{3}{4}\cdot 3\frac{5}{7}+3\frac{5}{7}\cdot 1\frac{1}{4}=$$ $$3\frac{5}{7} \cdot ( 5\frac{3}{4} + 1\frac{1}{4} ) =$$ $$3\frac{5}{7} \cdot (6 + \frac{3+1}{4} ) =$$ $$3\frac{5}{7} \cdot (6 + \frac{4}{4} ) =$$ $$3\frac{5}{7} \cdot 7 = \frac{26}{7} \cdot 7 = 26$$

Ответ: 26

е) $$8\frac{3}{5}\cdot 6\frac{1}{7}-1\frac{1}{7}\cdot 8\frac{3}{5}=$$ $$8\frac{3}{5} \cdot ( 6\frac{1}{7} - 1\frac{1}{7} ) =$$ $$8\frac{3}{5} \cdot 5 = \frac{43}{5} \cdot 5 = 43$$

Ответ: 43

ж) $$15\frac{3}{8}\cdot 4\frac{1}{6}-4\frac{1}{6}\cdot 15\frac{3}{8}=$$ $$15\frac{3}{8} \cdot 4\frac{1}{6} - 4\frac{1}{6} \cdot 15\frac{3}{8} =$$ 0

Ответ: 0

з) $$10\frac{5}{11}\cdot 4\frac{1}{3}+10\frac{5}{11}\cdot 6\frac{2}{3}=$$ $$10\frac{5}{11} \cdot ( 4\frac{1}{3} + 6\frac{2}{3} ) =$$ $$10\frac{5}{11} \cdot (10 + \frac{1+2}{3} ) =$$ $$10\frac{5}{11} \cdot (10 + \frac{3}{3} ) =$$ $$10\frac{5}{11} \cdot 11 = \frac{115}{11} \cdot 11 = 115$$

Ответ: 115