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