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

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) \(\displaystyle -\frac{15}{7} - (-\frac{3}{14}) = -\frac{30}{14} + \frac{3}{14} = -\frac{27}{14} = -1 \frac{13}{14}\)