Вопрос:

г) \frac{5}{9} * (-3 \frac{6}{7}) - (-3 \frac{5}{7}) * \frac{3}{52}

Ответ:

г) \frac{5}{9} * (-3 \frac{6}{7}) - (-3 \frac{5}{7}) * \frac{3}{52} = \frac{5}{9} * (-\frac{27}{7}) - (-\frac{26}{7}) * \frac{3}{52} = -\frac{5*27}{9*7} + \frac{26*3}{7*52} = -\frac{5*3}{1*7} + \frac{1*3}{7*2} = -\frac{15}{7} + \frac{3}{14} = -\frac{30}{14} + \frac{3}{14} = -\frac{27}{14} = -1 \frac{13}{14} 1) \(\displaystyle 3 \frac{6}{7} = \frac{3*7 + 6}{7} = \frac{27}{7}\) 2) \(\displaystyle 3 \frac{5}{7} = \frac{3*7 + 5}{7} = \frac{26}{7}\) 3) \(\displaystyle \frac{5}{9} * (-\frac{27}{7}) = -\frac{5}{1} * \frac{3}{7} = -\frac{15}{7}\) 4) \(\displaystyle (-\frac{26}{7}) * \frac{3}{52} = -\frac{1}{7} * \frac{3}{2} = -\frac{3}{14}\) 5) \(\displaystyle -\frac{15}{7} - (-\frac{3}{14}) = -\frac{30}{14} + \frac{3}{14} = -\frac{27}{14} = -1 \frac{13}{14}\)
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