Тренажер по теме «Действия с обыкновенными дробями». Вычислите: (6/5 - 3/4) * 2/3

1. $(\frac{6}{5} - \frac{3}{4}) \cdot \frac{2}{3} = (\frac{24 - 15}{20}) \cdot \frac{2}{3} = \frac{9}{20} \cdot \frac{2}{3} = \frac{3}{10} = 0,3$ 2. $(\frac{6}{5} - \frac{2}{3}) \cdot \frac{1}{2} = (\frac{18 - 10}{15}) \cdot \frac{1}{2} = \frac{8}{15} \cdot \frac{1}{2} = \frac{4}{15}$ 3. $\frac{11}{18} \cdot \frac{4}{9} \cdot \frac{3}{16} = \frac{11 \cdot 4 \cdot 3}{18 \cdot 9 \cdot 16} = \frac{11 \cdot 1 \cdot 1}{6 \cdot 9 \cdot 4} = \frac{11}{216}$ 4. $\frac{29}{30} \cdot \frac{5}{18} \cdot \frac{6}{25} = \frac{29 \cdot 5 \cdot 6}{30 \cdot 18 \cdot 25} = \frac{29 \cdot 30}{30 \cdot 18 \cdot 25} = \frac{29}{450}$ 5. $5 \frac{3}{8} \cdot (\frac{3}{4} + \frac{11}{8}) = \frac{43}{8} \cdot (\frac{6 + 11}{8}) = \frac{43}{8} \cdot \frac{17}{8} = \frac{731}{64} = 11 \frac{27}{64}$ Ответ: $\frac{731}{64}$ 6. $5 \frac{18}{7} \cdot (\frac{4}{9} + \frac{15}{18}) = \frac{53}{7} \cdot (\frac{8 + 15}{18}) = \frac{53}{7} \cdot \frac{23}{18} = \frac{1219}{126} = 9 \frac{85}{126}$ Ответ: $\frac{1219}{126}$ 7. $\frac{8}{5} \cdot \frac{3}{4} + \frac{11}{8} = \frac{2 \cdot 3}{5} + \frac{11}{8} = \frac{6}{5} + \frac{11}{8} = \frac{48 + 55}{40} = \frac{103}{40} = 2 \frac{23}{40}$ 8. $\frac{18}{7} \cdot \frac{4}{9} + \frac{15}{14} = \frac{2 \cdot 4}{7} + \frac{15}{14} = \frac{8}{7} + \frac{15}{14} = \frac{16 + 15}{14} = \frac{31}{14} = 2 \frac{3}{14}$ 9. $15 \cdot (1 + \frac{1}{3} - \frac{1}{5}) = 15 \cdot (\frac{15 + 5 - 3}{15}) = 15 \cdot \frac{17}{15} = 17$ 10. $72 \cdot (\frac{19}{24} - \frac{7}{12} + \frac{3}{8}) = 72 \cdot (\frac{19 - 14 + 9}{24}) = 72 \cdot \frac{14}{24} = 3 \cdot 14 = 42$ 11. $\frac{72}{73} \cdot \frac{34}{65} + \frac{72}{73} \cdot \frac{31}{65} = \frac{72}{73} \cdot (\frac{34}{65} + \frac{31}{65}) = \frac{72}{73} \cdot \frac{65}{65} = \frac{72}{73} \cdot 1 = \frac{72}{73}$ 12. $\frac{107}{89} \cdot \frac{64}{70} + \frac{107}{89} \cdot \frac{25}{70} = \frac{107}{89} \cdot (\frac{64}{70} + \frac{25}{70}) = \frac{107}{89} \cdot \frac{89}{70} = \frac{107}{70} = 1 \frac{37}{70}$