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МатематикаВопрос:
21. \(2 - 1\frac{1}{5} \cdot (1\frac{1}{4} + \frac{1}{12}) : 6\)
Ответ:
1) \(1\frac{1}{4} + \frac{1}{12} = \frac{5}{4} + \frac{1}{12} = \frac{15}{12} + \frac{1}{12} = \frac{16}{12} = \frac{4}{3}\)
2) \(1\frac{1}{5} \cdot \frac{4}{3} = \frac{6}{5} \cdot \frac{4}{3} = \frac{24}{15} = \frac{8}{5}\)
3) \(\frac{8}{5} : 6 = \frac{8}{5} \cdot \frac{1}{6} = \frac{8}{30} = \frac{4}{15}\)
4) \(2 - \frac{4}{15} = \frac{30}{15} - \frac{4}{15} = \frac{26}{15} = 1\frac{11}{15}\)
Ответ: \(1\frac{11}{15}\)
Похожие
- 1. a) \(\frac{4}{7} \cdot \frac{21}{32}\); б) \(\frac{3}{6} \cdot \frac{8}{9}\); в) \(\frac{5}{11} \cdot \frac{4}{15}\); г) \(\frac{9}{14} \cdot \frac{5}{12}\)
- 2. a) \(4\frac{3}{5}\); б) \(14\frac{7}{8}\); в) \(18\frac{2}{9}\); г) \(15\frac{7}{10}\)
- 3. a) \(5\frac{5}{9}\); б) \(4\frac{3}{6}\); в) \(21\frac{3}{7}\); г) \(6\frac{4}{9}\)
- 4. a) \(1\frac{3}{4}:5\frac{3}{5}\); б) \(3\frac{1}{3}:9\); в) \(15\frac{2}{5}:2\frac{3}{5}\); г) \(1\frac{3}{7}:2\frac{3}{5}\)
- 5. a) \(\frac{2}{5}:10\); б) \(\frac{7}{9}:15\); в) \(\frac{14}{21}:7\); г) \(\frac{4}{45}:9\)
- 6. a) \(\frac{2}{3}:6\); б) \(4:\frac{4}{5}\); в) \(2:\frac{10}{3}\); г) \(12:\frac{9}{10}\)
- 7. a) \(1\frac{1}{8}:4\); б) \(4\frac{1}{2}:6\); в) \(10:1\frac{1}{3}\); г) \(2:1\frac{1}{8}\)
- 8. a) \(\frac{1}{3} \cdot 90\); б) \(\frac{1}{12} \cdot 36\); в) \(\frac{1}{3} \cdot 48\)
- 9. a) \(6\frac{6}{7} \cdot 5\); б) \(2\frac{3}{5} \cdot 5\); в) \(7\frac{3}{5} \cdot 5\)
- 14. \(4\frac{1}{6} \cdot (1\frac{1}{3} + \frac{3}{5}) \cdot 6\)
- 15. \((6 - 2\frac{4}{5}) \cdot 3\frac{1}{8} - 1\frac{3}{4}\)
- 16. \(24 - (3\frac{3}{5} - 1\frac{7}{9}) : (2\frac{1}{2} \cdot \frac{1}{3})\)
- 17. \(4 \cdot (2\frac{1}{2} + 1\frac{1}{4}) - (6\frac{2}{3} + 4\frac{4}{5}) : 2\)
- 18. \(3 - 2\frac{2}{3} : 6 \cdot (1 - \frac{1}{2\frac{3}{5}})\)
- 19. \(4 - 2\frac{1}{4} \cdot (1\frac{1}{3} - \frac{5}{6}) : 10\)
- 20. \(2 - 4 \cdot (1\frac{1}{6} - \frac{2}{3}) : 1\frac{1}{3}\)
- 21. \(2 - 1\frac{1}{5} \cdot (1\frac{1}{4} + \frac{1}{12}) : 6\)
