Вопрос:

Пользуясь правилами умножения дробей, выполните задания

Ответ:

Выполняю задания на умножение дробей: 1. $$6 \cdot \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2}$$ 2. $$\frac{1}{6} \cdot 3 = \frac{3}{6} = \frac{1}{2}$$ 3. $$10 \cdot \frac{1}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}$$ 4. $$\frac{1}{12} \cdot 5 = \frac{5}{12}$$ 5. $$\frac{1}{5} \cdot 10 = \frac{10}{5} = 2$$ 6. $$\frac{3}{95} \cdot 0 = 0$$ 7. $$2 \cdot \frac{1}{14} = \frac{2}{14} = \frac{1}{7}$$ 8. $$7 \cdot \frac{1}{4} = \frac{7}{4} = 1\frac{3}{4}$$ 9. $$\frac{4}{9} \cdot 6 = \frac{24}{9} = \frac{8}{3} = 2\frac{2}{3}$$ 10. $$5 \cdot \frac{2}{45} = \frac{10}{45} = \frac{2}{9}$$ 11. $$\frac{4}{15} \cdot \frac{55}{6} = \frac{4 \cdot 55}{15 \cdot 6} = \frac{2 \cdot 11}{3 \cdot 3} = \frac{22}{9} = 2\frac{4}{9}$$ 12. $$\frac{1}{2} \cdot \frac{4}{5} = \frac{1 \cdot 4}{2 \cdot 5} = \frac{4}{10} = \frac{2}{5}$$ 13. $$\frac{5}{7} \cdot \frac{14}{5} = \frac{5 \cdot 14}{7 \cdot 5} = \frac{14}{7} = 2$$ 14. $$\frac{3}{4} \cdot \frac{8}{9} = \frac{3 \cdot 8}{4 \cdot 9} = \frac{1 \cdot 2}{1 \cdot 3} = \frac{2}{3}$$ 15. $$\frac{12}{13} \cdot \frac{13}{12} = \frac{12 \cdot 13}{13 \cdot 12} = 1$$ 16. $$\frac{5}{6} \cdot \frac{12}{15} = \frac{5 \cdot 12}{6 \cdot 15} = \frac{1 \cdot 2}{1 \cdot 3} = \frac{2}{3}$$ 17. $$\frac{7}{9} \cdot \frac{3}{21} = \frac{7 \cdot 3}{9 \cdot 21} = \frac{1 \cdot 1}{3 \cdot 3} = \frac{1}{9}$$ 18. $$\frac{12}{17} \cdot \frac{17}{24} = \frac{12 \cdot 17}{17 \cdot 24} = \frac{12}{24} = \frac{1}{2}$$ 19. $$\frac{11}{25} \cdot \frac{5}{22} = \frac{11 \cdot 5}{25 \cdot 22} = \frac{1 \cdot 1}{5 \cdot 2} = \frac{1}{10}$$ 20. $$\frac{5}{27} \cdot \frac{9}{20} = \frac{5 \cdot 9}{27 \cdot 20} = \frac{1 \cdot 1}{3 \cdot 4} = \frac{1}{12}$$ 21. $$\frac{7}{18} \cdot \frac{3}{7} = \frac{7 \cdot 3}{18 \cdot 7} = \frac{3}{18} = \frac{1}{6}$$ 22. $$\frac{5}{36} \cdot \frac{9}{25} = \frac{5 \cdot 9}{36 \cdot 25} = \frac{1 \cdot 1}{4 \cdot 5} = \frac{1}{20}$$ 23. $$\frac{7}{6} \cdot \frac{12}{63} = \frac{7 \cdot 12}{6 \cdot 63} = \frac{1 \cdot 2}{1 \cdot 9} = \frac{2}{9}$$ 24. $$\frac{25}{28} \cdot \frac{7}{5} = \frac{25 \cdot 7}{28 \cdot 5} = \frac{5 \cdot 1}{4 \cdot 1} = \frac{5}{4} = 1\frac{1}{4}$$ 25. $$\frac{6}{25} \cdot \frac{20}{21} = \frac{6 \cdot 20}{25 \cdot 21} = \frac{2 \cdot 4}{5 \cdot 7} = \frac{8}{35}$$ 26. $$(\frac{4}{5})^2 = \frac{4}{5} \cdot \frac{4}{5} = \frac{16}{25}$$ 27. $$(\frac{11}{15})^2 = \frac{11}{15} \cdot \frac{11}{15} = \frac{121}{225}$$ 28. $$(\frac{7}{6})^3 = \frac{7}{6} \cdot \frac{7}{6} \cdot \frac{7}{6} = \frac{343}{216} = 1\frac{127}{216}$$ 29. $$(\frac{3}{7})^3 = \frac{3}{7} \cdot \frac{3}{7} \cdot \frac{3}{7} = \frac{27}{343}$$ 30. $$(\frac{1}{4})^3 = \frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} = \frac{1}{64}$$
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