a) \(\frac{2}{7}:\frac{7}{4} + \frac{1}{2} - \frac{5}{8}\) = \(\frac{2}{7} \cdot \frac{4}{7} + \frac{1}{2} - \frac{5}{8}\) = \(\frac{8}{49} + \frac{1}{2} - \frac{5}{8}\) = \(\frac{8 \cdot 16}{49 \cdot 16} + \frac{1 \cdot 392}{2 \cdot 392} - \frac{5 \cdot 49}{8 \cdot 49}\) = \(\frac{128}{784} + \frac{392}{784} - \frac{245}{784}\) = \(\frac{128 + 392 - 245}{784}\) = \(\frac{275}{784}\).
Ответ: \(\frac{275}{784}\)
б) \(14 \cdot \frac{1}{7} - \frac{1}{3}:5 + \frac{2}{3}\) = \(2 - \frac{1}{3} \cdot \frac{1}{5} + \frac{2}{3}\) = \(2 - \frac{1}{15} + \frac{2}{3}\) = \(\frac{2 \cdot 15}{1 \cdot 15} - \frac{1}{15} + \frac{2 \cdot 5}{3 \cdot 5}\) = \(\frac{30}{15} - \frac{1}{15} + \frac{10}{15}\) = \(\frac{30 - 1 + 10}{15}\) = \(\frac{39}{15}\) = \(\frac{13}{5}\) = \(2\frac{3}{5}\).
Ответ: \(2\frac{3}{5}\)
в) \(\frac{6}{11}:\frac{2}{11} - \frac{1}{6} + \frac{1}{2}:2\) = \(\frac{6}{11} \cdot \frac{11}{2} - \frac{1}{6} + \frac{1}{2} \cdot \frac{1}{2}\) = \(3 - \frac{1}{6} + \frac{1}{4}\) = \(\frac{3 \cdot 12}{1 \cdot 12} - \frac{1 \cdot 2}{6 \cdot 2} + \frac{1 \cdot 3}{4 \cdot 3}\) = \(\frac{36}{12} - \frac{2}{12} + \frac{3}{12}\) = \(\frac{36 - 2 + 3}{12}\) = \(\frac{37}{12}\) = \(3\frac{1}{12}\).
Ответ: \(3\frac{1}{12}\)
г) 6 : 1,6 - 0,35 + 0,15 : 4 = 3,75 - 0,35 + 0,15 : 4 = 3,4 + 0,15 : 4 = 3,4 + 0,0375 = 3,4375
1,6
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6 | 3,75
- 48
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120
- 112
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80
- 80
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0
Ответ: 3,4375