Вопрос:

1 Вариант. 1. Найдите значение выражения: 1) \(\frac{24}{37} - \frac{8}{37} + \frac{11}{37}\) 2) \(3\frac{7}{11} + 6\frac{3}{11} - 5\frac{5}{11}\) 3) \(1 - \frac{7}{15}\) 4) \(5\frac{3}{8} - 2\frac{5}{8}\) 5) \(6\frac{3}{4} \cdot 1\frac{11}{45}\) 6) \(9 : \frac{27}{28}\) 7) \(3\frac{1}{5} \cdot 6\frac{3}{7} : \frac{4}{7}\) 2 Вариант. 1. Найдите значение выражения: 1) \(\frac{19}{28} + \frac{16}{28} - \frac{17}{28}\) 2) \(4\frac{11}{14} - 2\frac{5}{14} + 1\frac{3}{14}\) 3) \(1 - \frac{8}{17}\) 4) \(4\frac{5}{9} - 2\frac{8}{9}\) 5) \(4\frac{4}{9} \cdot 2\frac{5}{8}\) 6) \(\frac{8}{13} : 4\) 7) \(2\frac{3}{8} \cdot 3\frac{1}{5} : \frac{19}{20}\)

Ответ:

**1 Вариант** 1) \(\frac{24}{37} - \frac{8}{37} + \frac{11}{37} = \frac{24 - 8 + 11}{37} = \frac{27}{37}\) 2) \(3\frac{7}{11} + 6\frac{3}{11} - 5\frac{5}{11} = (3+6-5) + (\frac{7}{11} + \frac{3}{11} - \frac{5}{11}) = 4 + \frac{5}{11} = 4\frac{5}{11}\) 3) \(1 - \frac{7}{15} = \frac{15}{15} - \frac{7}{15} = \frac{15-7}{15} = \frac{8}{15}\) 4) \(5\frac{3}{8} - 2\frac{5}{8} = 5\frac{3}{8} - 2\frac{5}{8} = (5-2) + (\frac{3}{8} - \frac{5}{8}) = 3 - \frac{2}{8} = 2\frac{8}{8} - \frac{2}{8} = 2\frac{6}{8} = 2\frac{3}{4}\) 5) \(6\frac{3}{4} \cdot 1\frac{11}{45} = \frac{6 \cdot 4 + 3}{4} \cdot \frac{1 \cdot 45 + 11}{45} = \frac{27}{4} \cdot \frac{56}{45} = \frac{3}{1} \cdot \frac{14}{5} = \frac{42}{5} = 8\frac{2}{5}\) 6) \(9 : \frac{27}{28} = 9 \cdot \frac{28}{27} = \frac{9}{1} \cdot \frac{28}{27} = \frac{1}{1} \cdot \frac{28}{3} = \frac{28}{3} = 9\frac{1}{3}\) 7) \(3\frac{1}{5} \cdot 6\frac{3}{7} : \frac{4}{7} = \frac{16}{5} \cdot \frac{45}{7} : \frac{4}{7} = \frac{16}{5} \cdot \frac{45}{7} \cdot \frac{7}{4} = \frac{16}{5} \cdot \frac{45}{4} = \frac{4}{1} \cdot \frac{9}{1} = 36\) **2 Вариант** 1) \(\frac{19}{28} + \frac{16}{28} - \frac{17}{28} = \frac{19 + 16 - 17}{28} = \frac{18}{28} = \frac{9}{14}\) 2) \(4\frac{11}{14} - 2\frac{5}{14} + 1\frac{3}{14} = (4-2+1) + (\frac{11}{14} - \frac{5}{14} + \frac{3}{14}) = 3 + \frac{9}{14} = 3\frac{9}{14}\) 3) \(1 - \frac{8}{17} = \frac{17}{17} - \frac{8}{17} = \frac{17-8}{17} = \frac{9}{17}\) 4) \(4\frac{5}{9} - 2\frac{8}{9} = 4\frac{5}{9} - 2\frac{8}{9} = (4-2) + (\frac{5}{9} - \frac{8}{9}) = 2 - \frac{3}{9} = 1\frac{9}{9} - \frac{3}{9} = 1\frac{6}{9} = 1\frac{2}{3}\) 5) \(4\frac{4}{9} \cdot 2\frac{5}{8} = \frac{4 \cdot 9 + 4}{9} \cdot \frac{2 \cdot 8 + 5}{8} = \frac{40}{9} \cdot \frac{21}{8} = \frac{5}{3} \cdot \frac{7}{1} = \frac{35}{3} = 11\frac{2}{3}\) 6) \(\frac{8}{13} : 4 = \frac{8}{13} \cdot \frac{1}{4} = \frac{2}{13} \cdot \frac{1}{1} = \frac{2}{13}\) 7) \(2\frac{3}{8} \cdot 3\frac{1}{5} : \frac{19}{20} = \frac{19}{8} \cdot \frac{16}{5} : \frac{19}{20} = \frac{19}{8} \cdot \frac{16}{5} \cdot \frac{20}{19} = \frac{1}{1} \cdot \frac{2}{1} \cdot \frac{4}{1} = 8\)
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