K-4, Вариант IV, №1. Вычислите: a) \(\frac{4}{7} + (-\frac{11}{14})\) b) \(-\frac{4}{9} - \frac{5}{12}\) v) \(-\frac{14}{25} \cdot \frac{20}{21}\) g) \(\frac{14}{9} : (-\frac{16}{15})\)

a) \(\frac{4}{7} + (-\frac{11}{14}) = \frac{8}{14} - \frac{11}{14} = -\frac{3}{14}\) b) \(-\frac{4}{9} - \frac{5}{12} = -\frac{16}{36} - \frac{15}{36} = -\frac{31}{36}\) v) \(-\frac{14}{25} \cdot \frac{20}{21} = -\frac{2 \cdot 7}{5 \cdot 5} \cdot \frac{4 \cdot 5}{3 \cdot 7} = -\frac{2 \cdot 4}{5 \cdot 3} = -\frac{8}{15}\) g) \(\frac{14}{9} : (-\frac{16}{15}) = \frac{14}{9} \cdot (-\frac{15}{16}) = -\frac{14 \cdot 15}{9 \cdot 16} = -\frac{7 \cdot 2 \cdot 3 \cdot 5}{3 \cdot 3 \cdot 8 \cdot 2} = -\frac{7 \cdot 5}{3 \cdot 8} = -\frac{35}{24} = -1\frac{11}{24}\)