Вопрос:

1) $$(5\frac{3}{5} - 1\frac{1}{3}) : (4\frac{7}{12} - 2\frac{1}{4}) \cdot 1,25 =$$ 2) $$(3\frac{3}{4} \cdot \frac{3}{5} - 7\frac{1}{2} : 27 + 1\frac{2}{9}) : (3\frac{1}{6} - 1\frac{1}{4}) =$$

Ответ:

1) $$(5\frac{3}{5} - 1\frac{1}{3}) : (4\frac{7}{12} - 2\frac{1}{4}) \cdot 1,25 =$$ $$\frac{28}{5} - \frac{4}{3} = \frac{28 \cdot 3 - 4 \cdot 5}{15} = \frac{84 - 20}{15} = \frac{64}{15}$$ $$\frac{64}{15} : (4\frac{7}{12} - 2\frac{1}{4}) \cdot 1,25 =$$ $$4\frac{7}{12} - 2\frac{1}{4} = \frac{55}{12} - \frac{9}{4} = \frac{55 - 9 \cdot 3}{12} = \frac{55 - 27}{12} = \frac{28}{12} = \frac{7}{3}$$ $$\frac{64}{15} : \frac{7}{3} \cdot 1,25 =$$ $$\frac{64}{15} \cdot \frac{3}{7} = \frac{64}{5 \cdot 7} = \frac{64}{35}$$ $$\frac{64}{35} \cdot 1,25 = \frac{64}{35} \cdot \frac{5}{4} = \frac{16}{7} \cdot \frac{5}{1} = \frac{80}{7} = 11\frac{3}{7}$$ Ответ: $$11\frac{3}{7}$$ 2) $$(3\frac{3}{4} \cdot \frac{3}{5} - 7\frac{1}{2} : 27 + 1\frac{2}{9}) : (3\frac{1}{6} - 1\frac{1}{4}) =$$ $$3\frac{3}{4} \cdot \frac{3}{5} = \frac{15}{4} \cdot \frac{3}{5} = \frac{3}{4} \cdot \frac{3}{1} = \frac{9}{4} = 2\frac{1}{4}$$ $$7\frac{1}{2} : 27 + 1\frac{2}{9} = \frac{15}{2} : 27 + \frac{11}{9} = \frac{15}{2} \cdot \frac{1}{27} + \frac{11}{9} = \frac{5}{2 \cdot 9} + \frac{11}{9} = \frac{5}{18} + \frac{11}{9} = \frac{5 + 11 \cdot 2}{18} = \frac{5 + 22}{18} = \frac{27}{18} = \frac{3}{2} = 1\frac{1}{2}$$ $$2\frac{1}{4} - 1\frac{1}{2} = \frac{9}{4} - \frac{3}{2} = \frac{9 - 3 \cdot 2}{4} = \frac{9 - 6}{4} = \frac{3}{4}$$ $$3\frac{1}{6} - 1\frac{1}{4} = \frac{19}{6} - \frac{5}{4} = \frac{19 \cdot 2 - 5 \cdot 3}{12} = \frac{38 - 15}{12} = \frac{23}{12}$$ $$\frac{3}{4} : \frac{23}{12} = \frac{3}{4} \cdot \frac{12}{23} = \frac{3}{1} \cdot \frac{3}{23} = \frac{9}{23}$$ Ответ: $$\frac{9}{23}$$
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