1. Выполните сложение: a) 24 + (-6); б) 2 \frac{1}{6} + (-3 \frac{2}{3}); в) -\frac{2}{9} + \frac{14}{11}.

Решение:

a) 24 + (-6) = 24 - 6 = 18

б) 2 \frac{1}{6} + (-3 \frac{2}{3}) = \frac{13}{6} - \frac{11}{3} = \frac{13}{6} - \frac{22}{6} = -\frac{9}{6} = -\frac{3}{2} = -1 \frac{1}{2}

в) -\frac{2}{9} + \frac{14}{11} = -\frac{2 \cdot 11}{9 \cdot 11} + \frac{14 \cdot 9}{11 \cdot 9} = -\frac{22}{99} + \frac{126}{99} = \frac{126 - 22}{99} = \frac{104}{99} = 1 \frac{5}{99}