Вопрос:

А) (4/5 - 1/3) * 15

А) (4/5 - 1/3) * 15
Фотография

Ответ ассистента

А) $(\frac{4}{5} - \frac{1}{3}) \cdot 15 = (\frac{12}{15} - \frac{5}{15}) \cdot 15 = \frac{7}{15} \cdot 15 = 7$ Б) $(\frac{2}{7} + \frac{5}{21}) \cdot 21 = (\frac{6}{21} + \frac{5}{21}) \cdot 21 = \frac{11}{21} \cdot 21 = 11$ В) $(\frac{7}{12} - \frac{5}{9}) \cdot 12 = (\frac{21}{36} - \frac{20}{36}) \cdot 12 = \frac{1}{36} \cdot 12 = \frac{1}{3} = 0.333$ Г) $(\frac{3}{8} + \frac{5}{12}) \cdot 24 = (\frac{9}{24} + \frac{10}{24}) \cdot 24 = \frac{19}{24} \cdot 24 = 19$ Д) $(\frac{8}{11} - \frac{3}{22}) \cdot 44 = (\frac{16}{22} - \frac{3}{22}) \cdot 44 = \frac{13}{22} \cdot 44 = 26$ Е) $6\frac{1}{5} \cdot 4 = \frac{31}{5} \cdot 4 = \frac{124}{5} = 24.8$ Ё) $10 \cdot 5\frac{2}{5} = 10 \cdot \frac{27}{5} = 2 \cdot 27 = 54$ Ж) $12\frac{9}{13} \cdot 13 = \frac{165}{13} \cdot 13 = 165$ З) $(4\frac{2}{3} + 5\frac{1}{2}) \cdot 6 = (\frac{14}{3} + \frac{11}{2}) \cdot 6 = (\frac{28}{6} + \frac{33}{6}) \cdot 6 = \frac{61}{6} \cdot 6 = 61$ И) $(8 - 1\frac{1}{9}) \cdot 9 = (8 - \frac{10}{9}) \cdot 9 = 8 \cdot 9 - \frac{10}{9} \cdot 9 = 72 - 10 = 62$ Й) $(3\frac{3}{5} - 2\frac{1}{15}) \cdot 5 = (\frac{18}{5} - \frac{31}{15}) \cdot 5 = (\frac{54}{15} - \frac{31}{15}) \cdot 5 = \frac{23}{15} \cdot 5 = \frac{23}{3} = 7\frac{2}{3}$ К) $(1\frac{14}{17} - 1\frac{1}{34}) \cdot 34 = (\frac{31}{17} - \frac{35}{34}) \cdot 34 = (\frac{62}{34} - \frac{35}{34}) \cdot 34 = \frac{27}{34} \cdot 34 = 27$ Л) $(2\frac{3}{4} + 4\frac{1}{8}) \cdot 1\frac{5}{11} = (\frac{11}{4} + \frac{33}{8}) \cdot \frac{16}{11} = (\frac{22}{8} + \frac{33}{8}) \cdot \frac{16}{11} = \frac{55}{8} \cdot \frac{16}{11} = 5 \cdot 2 = 10$ М) $1\frac{2}{5} \cdot (1\frac{1}{14} - \frac{5}{7}) = \frac{7}{5} \cdot (\frac{15}{14} - \frac{10}{14}) = \frac{7}{5} \cdot \frac{5}{14} = \frac{1}{2} = 0.5$ Н) $4\frac{3}{8} \cdot (1\frac{3}{7} - \frac{34}{35}) = \frac{35}{8} \cdot (\frac{10}{7} - \frac{34}{35}) = \frac{35}{8} \cdot (\frac{50}{35} - \frac{34}{35}) = \frac{35}{8} \cdot \frac{16}{35} = 2$

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