Вопрос:

Реши примеры с дробями: 7. 4 1/6 + 10

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Ответ ассистента

Конечно, давай решим эти примеры вместе! 7. $4 \frac{1}{6} + 10 = 4 + \frac{1}{6} + 10 = 14 \frac{1}{6}$ 9. $8 \frac{9}{13} + 2 \frac{5}{13} = 8 + \frac{9}{13} + 2 + \frac{5}{13} = 10 + \frac{9+5}{13} = 10 + \frac{14}{13} = 10 + 1 \frac{1}{13} = 11 \frac{1}{13}$ 11. $5 - 3 \frac{3}{5} = 5 - (3 + \frac{3}{5}) = 5 - 3 - \frac{3}{5} = 2 - \frac{3}{5} = 1 \frac{5}{5} - \frac{3}{5} = 1 \frac{2}{5}$ 13. $6 \frac{14}{17} - 3 \frac{2}{17} + 2 \frac{5}{17} = 6 + \frac{14}{17} - 3 - \frac{2}{17} + 2 + \frac{5}{17} = (6 - 3 + 2) + (\frac{14}{17} - \frac{2}{17} + \frac{5}{17}) = 5 + \frac{14 - 2 + 5}{17} = 5 + \frac{17}{17} = 5 + 1 = 6$ 15. $5 \frac{25}{33} + 5 \frac{13}{33} - 4 \frac{5}{33} = 5 + \frac{25}{33} + 5 + \frac{13}{33} - 4 - \frac{5}{33} = (5 + 5 - 4) + (\frac{25}{33} + \frac{13}{33} - \frac{5}{33}) = 6 + \frac{25 + 13 - 5}{33} = 6 + \frac{33}{33} = 6 + 1 = 7$ 17. $9 \frac{1}{6} - 3 \frac{5}{18} = 9 + \frac{1}{6} - 3 - \frac{5}{18} = 9 - 3 + \frac{1}{6} - \frac{5}{18} = 6 + \frac{3}{18} - \frac{5}{18} = 6 - \frac{2}{18} = 5 + \frac{18}{18} - \frac{2}{18} = 5 \frac{16}{18} = 5 \frac{8}{9}$ 18. $10 \frac{5}{8} - 2 \frac{7}{16} = 10 + \frac{5}{8} - 2 - \frac{7}{16} = 10 - 2 + \frac{5}{8} - \frac{7}{16} = 8 + \frac{10}{16} - \frac{7}{16} = 8 + \frac{3}{16} = 8 \frac{3}{16}$ 19. $5 \frac{1}{8} + 14 \frac{7}{12} = 5 + \frac{1}{8} + 14 + \frac{7}{12} = 5 + 14 + \frac{1}{8} + \frac{7}{12} = 19 + \frac{3}{24} + \frac{14}{24} = 19 + \frac{17}{24} = 19 \frac{17}{24}$ 20. $8 \frac{5}{9} + 3 \frac{5}{6} = 8 + \frac{5}{9} + 3 + \frac{5}{6} = 8 + 3 + \frac{5}{9} + \frac{5}{6} = 11 + \frac{10}{18} + \frac{15}{18} = 11 + \frac{25}{18} = 11 + 1 \frac{7}{18} = 12 \frac{7}{18}$ 21. $5 \frac{2}{3} - 3 \frac{1}{5} = 5 + \frac{2}{3} - 3 - \frac{1}{5} = 5 - 3 + \frac{2}{3} - \frac{1}{5} = 2 + \frac{10}{15} - \frac{3}{15} = 2 + \frac{7}{15} = 2 \frac{7}{15}$ 22. $12 \frac{5}{12} - 8 \frac{7}{18} = 12 + \frac{5}{12} - 8 - \frac{7}{18} = 12 - 8 + \frac{5}{12} - \frac{7}{18} = 4 + \frac{15}{36} - \frac{14}{36} = 4 + \frac{1}{36} = 4 \frac{1}{36}$ 23. $3 \frac{5}{16} - 1 \frac{1}{4} - 1 \frac{1}{16} = 3 + \frac{5}{16} - 1 - \frac{1}{4} - 1 - \frac{1}{16} = 3 - 1 - 1 + \frac{5}{16} - \frac{1}{4} - \frac{1}{16} = 1 + \frac{5}{16} - \frac{4}{16} - \frac{1}{16} = 1 + \frac{5 - 4 - 1}{16} = 1 + \frac{0}{16} = 1$ 24. $5 \frac{11}{12} - 2 \frac{1}{6} - 1 \frac{1}{4} = 5 + \frac{11}{12} - 2 - \frac{1}{6} - 1 - \frac{1}{4} = 5 - 2 - 1 + \frac{11}{12} - \frac{1}{6} - \frac{1}{4} = 2 + \frac{11}{12} - \frac{2}{12} - \frac{3}{12} = 2 + \frac{11 - 2 - 3}{12} = 2 + \frac{6}{12} = 2 + \frac{1}{2} = 2 \frac{1}{2}$ 25. $\frac{1}{8} + 1 \frac{3}{5} + 2 \frac{7}{8} = \frac{1}{8} + 1 + \frac{3}{5} + 2 + \frac{7}{8} = 1 + 2 + \frac{1}{8} + \frac{3}{5} + \frac{7}{8} = 3 + \frac{1}{8} + \frac{7}{8} + \frac{3}{5} = 3 + \frac{8}{8} + \frac{3}{5} = 3 + 1 + \frac{3}{5} = 4 \frac{3}{5}$ 26. $2 \frac{7}{9} - 1 \frac{5}{18} + 5 \frac{1}{2} = 2 + \frac{7}{9} - 1 - \frac{5}{18} + 5 + \frac{1}{2} = 2 - 1 + 5 + \frac{7}{9} - \frac{5}{18} + \frac{1}{2} = 6 + \frac{14}{18} - \frac{5}{18} + \frac{9}{18} = 6 + \frac{14 - 5 + 9}{18} = 6 + \frac{18}{18} = 6 + 1 = 7$ 27. $\frac{1}{3} \cdot \frac{2}{5} = \frac{1 \cdot 2}{3 \cdot 5} = \frac{2}{15}$ 28. $\frac{1}{2} \cdot \frac{4}{7} = \frac{1 \cdot 4}{2 \cdot 7} = \frac{4}{14} = \frac{2}{7}$ 29. $\frac{11}{12} \cdot \frac{4}{22} = \frac{11 \cdot 4}{12 \cdot 22} = \frac{44}{264} = \frac{1}{6}$ 30. $\frac{17}{26} \cdot \frac{13}{34} = \frac{17 \cdot 13}{26 \cdot 34} = \frac{221}{884} = \frac{1}{4}$

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