1027. a) 4$$\frac{1}{12}\cdot8\frac{6}{7}\cdot6; б) 6$$\frac{1}{4}$$\cdot1$$\frac{2}{5}$$\cdot8; в) 5$$\frac{3}{7}$$\cdot$$\frac{5}{9}$$\cdot$$\frac{14}{19}$$; г) 3$$\frac{3}{8}$$\cdot$$\frac{1}{2}$$\cdot$$\frac{9}{16}$$; д) 5$$\frac{5}{7}$$\cdot5$$\frac{5}{12}$$\cdot5$$\frac{1}{4}$$\cdot$$\frac{6}{7}$$:1$$\frac{1}{2}$$; e) $$\frac{3}{4}$$\cdot1$$\frac{1}{4}$$\cdot7$$\frac{1}{2}$$\cdot2$$\frac{1}{4}$$:7$$\frac{1}{2}$$; ж) $$\frac{3}{7}$$:1$$\frac{1}{7}$$:1$$\frac{7}{8}$$\cdot$$\frac{11}{25}$$:1$$\frac{1}{22}$$\cdot3$$\frac{2}{11}$$; з) $$\frac{15}{16}$$:1$$\frac{1}{48}$$:2$$\frac{1}{7}$$:2$$\frac{2}{49}$$:$$\frac{24}{125}$$.

Давай выполним вычисления по порядку. а) 4$$\frac{1}{12}\cdot8\frac{6}{7}\cdot6 = \frac{49}{12}\cdot\frac{62}{7}\cdot6 = \frac{49\cdot62\cdot6}{12\cdot7} = \frac{7\cdot62\cdot6}{12} = \frac{7\cdot62}{2} = 7\cdot31 = 217 б) 6$$\frac{1}{4}$$\cdot1$$\frac{2}{5}$$\cdot8 = \frac{25}{4}\cdot\frac{7}{5}\cdot8 = \frac{25\cdot7\cdot8}{4\cdot5} = \frac{5\cdot7\cdot8}{4} = 5\cdot7\cdot2 = 70 в) 5$$\frac{3}{7}$$\cdot$$\frac{5}{9}$$\cdot$$\frac{14}{19}$$ = \frac{38}{7}\cdot\frac{5}{9}\cdot\frac{14}{19} = \frac{38\cdot5\cdot14}{7\cdot9\cdot19} = \frac{2\cdot5\cdot2}{9} = \frac{20}{9} = 2$$\frac{2}{9} г) 3$$\frac{3}{8}$$\cdot$$\frac{1}{2}$$:$$\frac{9}{16}$$ = \frac{27}{8}\cdot\frac{1}{2}:\frac{9}{16} = \frac{27}{8}\cdot\frac{1}{2}\cdot\frac{16}{9} = \frac{27\cdot16}{8\cdot2\cdot9} = \frac{3\cdot2}{1} = 6 д) 5$$\frac{5}{7}$$\cdot5$$\frac{5}{12}$$\cdot5$$\frac{1}{4}$$\cdot$$\frac{6}{7}$$:1$$\frac{1}{2}$$ = \frac{40}{7}\cdot\frac{65}{12}\cdot\frac{21}{4}\cdot\frac{6}{7}:\frac{3}{2} = \frac{40}{7}\cdot\frac{65}{12}\cdot\frac{21}{4}\cdot\frac{6}{7}\cdot\frac{2}{3} = \frac{40\cdot65\cdot21\cdot6\cdot2}{7\cdot12\cdot4\cdot7\cdot3} = \frac{40\cdot65\cdot3\cdot6\cdot2}{12\cdot4\cdot7\cdot3} = \frac{40\cdot65\cdot6\cdot2}{12\cdot4\cdot7} = \frac{10\cdot65\cdot6\cdot2}{3\cdot4\cdot7} = \frac{10\cdot65\cdot2}{2\cdot7} = \frac{10\cdot65}{7} = \frac{650}{7} = 92$$\frac{6}{7} e) $$\frac{3}{4}$$\cdot1$$\frac{1}{4}$$\cdot7$$\frac{1}{2}$$\cdot2$$\frac{1}{4}$$:7$$\frac{1}{2}$$ = $$\frac{3}{4}$$\cdot$$\frac{5}{4}$$\cdot$$\frac{15}{2}$$\cdot$$\frac{9}{4}$$:$$\frac{15}{2}$$ = $$\frac{3\cdot5\cdot15\cdot9}{4\cdot4\cdot2\cdot4}$$\cdot$$\frac{2}{15}$$ = $$\frac{3\cdot5\cdot9}{4\cdot4\cdot2\cdot4}$$\cdot2 = $$\frac{3\cdot5\cdot9}{4\cdot4\cdot4}$$ = $$\frac{135}{64}$$ = 2$$\frac{7}{64} ж) $$\frac{3}{7}$$:1$$\frac{1}{7}$$:1$$\frac{7}{8}$$\cdot$$\frac{11}{25}$$:1$$\frac{1}{22}$$\cdot3$$\frac{2}{11}$$ = $$\frac{3}{7}$$:$$\frac{8}{7}$$:$$\frac{15}{8}$$\cdot$$\frac{11}{25}$$:$$\frac{23}{22}$$\cdot$$\frac{35}{11}$$ = $$\frac{3}{7}$$\cdot$$\frac{7}{8}$$\cdot$$\frac{8}{15}$$\cdot$$\frac{11}{25}$$\cdot$$\frac{22}{23}$$\cdot$$\frac{35}{11}$$ = $$\frac{3\cdot7\cdot8\cdot11\cdot22\cdot35}{7\cdot8\cdot15\cdot25\cdot23\cdot11}$$ = $$\frac{3\cdot22\cdot35}{15\cdot25\cdot23}$$ = $$\frac{2310}{8625}$$ = $$\frac{154}{575} з) $$\frac{15}{16}$$:1$$\frac{1}{48}$$:2$$\frac{1}{7}$$:2$$\frac{2}{49}$$:$$\frac{24}{125}$$ = $$\frac{15}{16}$$:$$\frac{49}{48}$$:$$\frac{15}{7}$$:$$\frac{100}{49}$$:$$\frac{24}{125}$$ = $$\frac{15}{16}$$\cdot$$\frac{48}{49}$$\cdot$$\frac{7}{15}$$\cdot$$\frac{49}{100}$$\cdot$$\frac{125}{24}$$ = $$\frac{15\cdot48\cdot7\cdot49\cdot125}{16\cdot49\cdot15\cdot100\cdot24}$$ = $$\frac{48\cdot7\cdot125}{16\cdot100\cdot24}$$ = $$\frac{3\cdot7\cdot5}{100\cdot2}$$ = $$\frac{105}{200}$$ = $$\frac{21}{40}

Ответ: a) 217; б) 70; в) 2$$\frac{2}{9}$$; г) 6; д) 92$$\frac{6}{7}$$; e) 2$$\frac{7}{64}$$; ж) $$\frac{154}{575}$$; з) $$\frac{21}{40}$$