Вычислите: $$1\frac{5}{9} + \frac{1}{6}$$ $$\frac{5}{6} - \frac{3}{4}$$ $$\frac{3}{4} \cdot \frac{2}{9}$$ $$1\frac{7}{9} : 2\frac{2}{3}$$

a) $$1\frac{5}{9} + \frac{1}{6} = \frac{14}{9} + \frac{1}{6} = \frac{28}{18} + \frac{3}{18} = \frac{31}{18} = 1\frac{13}{18}$$

б) $$\frac{5}{6} - \frac{3}{4} = \frac{10}{12} - \frac{9}{12} = \frac{1}{12}$$

в) $$\frac{3}{4} \cdot \frac{2}{9} = \frac{3 \cdot 2}{4 \cdot 9} = \frac{6}{36} = \frac{1}{6}$$

г) $$1\frac{7}{9} : 2\frac{2}{3} = \frac{16}{9} : \frac{8}{3} = \frac{16}{9} \cdot \frac{3}{8} = \frac{16 \cdot 3}{9 \cdot 8} = \frac{2 \cdot 1}{3 \cdot 1} = \frac{2}{3}$$