Выполни действия: 1) 2/9 * 6

Привет! Давай решим эти примеры по очереди. 1) $\frac{2}{9} \cdot 6 = \frac{2 \cdot 6}{9} = \frac{12}{9} = \frac{4}{3} = 1\frac{1}{3}$ 2) $\frac{3}{2} \cdot \frac{7}{4} = \frac{3 \cdot 7}{2 \cdot 4} = \frac{21}{8} = 2\frac{5}{8}$ 3) $\frac{3}{8} \cdot (\frac{11}{14} - \frac{3}{14}) = \frac{3}{8} \cdot \frac{11-3}{14} = \frac{3}{8} \cdot \frac{8}{14} = \frac{3 \cdot 8}{8 \cdot 14} = \frac{3}{14}$ 4) $(\frac{6}{11} + \frac{3}{22}) \cdot \frac{1}{15} = (\frac{6 \cdot 2}{11 \cdot 2} + \frac{3}{22}) \cdot \frac{1}{15} = (\frac{12}{22} + \frac{3}{22}) \cdot \frac{1}{15} = \frac{15}{22} \cdot \frac{1}{15} = \frac{15 \cdot 1}{22 \cdot 15} = \frac{1}{22}$ 5) $2\frac{2}{5} : \frac{1}{3} = \frac{2 \cdot 5 + 2}{5} : \frac{1}{3} = \frac{12}{5} : \frac{1}{3} = \frac{12}{5} \cdot \frac{3}{1} = \frac{12 \cdot 3}{5 \cdot 1} = \frac{36}{5} = 7\frac{1}{5}$ 6) $3\frac{2}{3} : 1\frac{1}{9} = \frac{3 \cdot 3 + 2}{3} : \frac{1 \cdot 9 + 1}{9} = \frac{11}{3} : \frac{10}{9} = \frac{11}{3} \cdot \frac{9}{10} = \frac{11 \cdot 9}{3 \cdot 10} = \frac{11 \cdot 3}{10} = \frac{33}{10} = 3\frac{3}{10}$ 7) $(\frac{2}{9} + (\frac{1}{3})^2 + 3\frac{1}{3}) : \frac{11}{17} = (\frac{2}{9} + \frac{1}{9} + \frac{10}{3}) : \frac{11}{17} = (\frac{2}{9} + \frac{1}{9} + \frac{10 \cdot 3}{3 \cdot 3}) : \frac{11}{17} = (\frac{3}{9} + \frac{30}{9}) : \frac{11}{17} = \frac{33}{9} : \frac{11}{17} = \frac{11}{3} \cdot \frac{17}{11} = \frac{17}{3} = 5\frac{2}{3}$