4.46 Вычислите. a) 1-4/7 : 2 : 3/7 - 1 1/3 = ? б) 2-5/9 : 13 * 9 + 9/13 = ? в) 16/17 : 8/17 - 7/8 : 2 = ? г) 4,5 + 3,5 : 5 + 1,4 * 2,2 - 0,01 = ?

Давай вычислим по порядку каждый пример: a) \(1-\frac{4}{7} : 2 : \frac{3}{7} - 1\frac{1}{3} = ?\) 1. \(\frac{4}{7} : 2 = \frac{4}{7} \cdot \frac{1}{2} = \frac{4}{14} = \frac{2}{7}\) 2. \(\frac{2}{7} : \frac{3}{7} = \frac{2}{7} \cdot \frac{7}{3} = \frac{2}{3}\) 3. \(1 - \frac{2}{3} = \frac{3}{3} - \frac{2}{3} = \frac{1}{3}\) 4. \(1\frac{1}{3} = \frac{4}{3}\) 5. \(\frac{1}{3} - \frac{4}{3} = -\frac{3}{3} = -1\) б) \(2-\frac{5}{9} : 13 \cdot 9 + \frac{9}{13} = ?\) 1. \(\frac{5}{9} : 13 = \frac{5}{9} \cdot \frac{1}{13} = \frac{5}{117}\) 2. \(\frac{5}{117} \cdot 9 = \frac{5 \cdot 9}{117} = \frac{45}{117} = \frac{5}{13}\) 3. \(2 - \frac{5}{13} = \frac{26}{13} - \frac{5}{13} = \frac{21}{13}\) 4. \(\frac{21}{13} + \frac{9}{13} = \frac{30}{13} = 2\frac{4}{13}\) в) \(\frac{16}{17} : \frac{8}{17} - \frac{7}{8} : 2 = ?\) 1. \(\frac{16}{17} : \frac{8}{17} = \frac{16}{17} \cdot \frac{17}{8} = \frac{16}{8} = 2\) 2. \(\frac{7}{8} : 2 = \frac{7}{8} \cdot \frac{1}{2} = \frac{7}{16}\) 3. \(2 - \frac{7}{16} = \frac{32}{16} - \frac{7}{16} = \frac{25}{16} = 1\frac{9}{16}\) г) \(4.5 + 3.5 : 5 + 1.4 \cdot 2.2 - 0.01 = ?\) 1. \(3.5 : 5 = 0.7\) 2. \(1.4 \cdot 2.2 = 3.08\) 3. \(4.5 + 0.7 = 5.2\) 4. \(5.2 + 3.08 = 8.28\) 5. \(8.28 - 0.01 = 8.27\)

Ответ:

• а) -1
• б) \(2\frac{4}{13}\)
• в) \(1\frac{9}{16}\)
• г) 8.27

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