Найдите значения выражений. Ваш ответ должен быть в простейшей форме. 1) \(\frac{3}{5} \times \frac{2}{3} \times \frac{4}{3} = \frac{3 \times 2 \times 4}{5 \times 3 \times 3} = \frac{}{}\) 15 2) \(\frac{4}{7} \times \frac{2}{3} \times \frac{7}{4} = \) 3) \(\frac{3}{8} \times 8 \times \frac{5}{4} = \) 4) \(\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} = \) 5) \(\frac{7}{4} \times \frac{4}{5} \times \frac{2}{3} = \) 6) \(6 \times \frac{3}{4} \times \frac{9}{3} = \) 7) \(\frac{10}{7} \times \frac{4}{5} \times \frac{5}{3} = \) 8) \(\frac{10}{6} \times 7 \times \frac{2}{7} = \) 9) \(11 \times \frac{3}{5} \times \frac{2}{3} = \) 10) \(\frac{4}{9} \times 12 \times \frac{2}{3} = \)

Решение:

1. \(\frac{3}{5} \times \frac{2}{3} \times \frac{4}{3} = \frac{3 \times 2 \times 4}{5 \times 3 \times 3} = \frac{24}{45} = \frac{8}{15}\)

2. \(\frac{4}{7} \times \frac{2}{3} \times \frac{7}{4} = \frac{4 \times 2 \times 7}{7 \times 3 \times 4} = \frac{56}{84} = \frac{2}{3}\)

3. \(\frac{3}{8} \times 8 \times \frac{5}{4} = \frac{3 \times 8 \times 5}{8 \times 1 \times 4} = \frac{120}{32} = \frac{15}{4}\)

4. \(\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5} = \frac{2 \times 3 \times 4}{3 \times 4 \times 5} = \frac{24}{60} = \frac{2}{5}\)

5. \(\frac{7}{4} \times \frac{4}{5} \times \frac{2}{3} = \frac{7 \times 4 \times 2}{4 \times 5 \times 3} = \frac{56}{60} = \frac{14}{15}\)

6. \(6 \times \frac{3}{4} \times \frac{9}{3} = \frac{6 \times 3 \times 9}{1 \times 4 \times 3} = \frac{162}{12} = \frac{27}{2}\)

7. \(\frac{10}{7} \times \frac{4}{5} \times \frac{5}{3} = \frac{10 \times 4 \times 5}{7 \times 5 \times 3} = \frac{200}{105} = \frac{40}{21}\)

8. \(\frac{10}{6} \times 7 \times \frac{2}{7} = \frac{10 \times 7 \times 2}{6 \times 1 \times 7} = \frac{140}{42} = \frac{10}{3}\)

9. \(11 \times \frac{3}{5} \times \frac{2}{3} = \frac{11 \times 3 \times 2}{1 \times 5 \times 3} = \frac{66}{15} = \frac{22}{5}\)

10. \(\frac{4}{9} \times 12 \times \frac{2}{3} = \frac{4 \times 12 \times 2}{9 \times 1 \times 3} = \frac{96}{27} = \frac{32}{9}\)