Ответ:
5. Нахождение значения выражения
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а) 2,5 - 8,5 = -6
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б) -7,62 - (-7,24) = -7,62 + 7,24 = -0,38
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в) 3,9 - (- 2,3) = 3,9 + 2,3 = 6,2
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г) \( \frac{5}{12} \) - (-\(\frac{1}{12}\)) = \( \frac{5}{12} \) + \( \frac{1}{12} \) = \( \frac{6}{12} \) = \( \frac{1}{2} \)
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д) \( \frac{4}{9} \) - \( \frac{2}{3} \)= \( \frac{4}{9} \) - \( \frac{6}{9} \)= -\( \frac{2}{9} \)
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е) -1\( \frac{1}{8} \) - 1\( \frac{1}{4} \)= -1\( \frac{1}{8} \) - 1\( \frac{2}{8} \)= -2\( \frac{3}{8} \)
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ж) 1\( \frac{2}{5} \) + 1\( \frac{1}{10} \)= 1\( \frac{4}{10} \) + 1\( \frac{1}{10} \)= 2\( \frac{5}{10} \)= 2\( \frac{1}{2} \)
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з) 3,8 + (-8,9) = 3,8 - 8,9 = -5,1
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и) -\( \frac{2}{3} \) + \( \frac{5}{6} \)= -\( \frac{4}{6} \) + \( \frac{5}{6} \)= \( \frac{1}{6} \)
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к) 7 - (-4,9) = 7 + 4,9 = 11,9
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л) -5 - (-2,9) = -5 + 2,9 = -2,1
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м) - 3\( \frac{1}{2} \) - (-1\( \frac{1}{4} \))= - 3\( \frac{2}{4} \) + 1\( \frac{1}{4} \)= - 2\( \frac{1}{4} \)
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н) 3,2 - 2\( \frac{1}{3} \)= 3\( \frac{2}{10} \) - 2\( \frac{1}{3} \)= 3\( \frac{1}{5} \) - 2\( \frac{1}{3} \)= 3\( \frac{3}{15} \) - 2\( \frac{5}{15} \)= 2\( \frac{18}{15} \) - 2\( \frac{5}{15} \) = \( \frac{13}{15} \)
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о) (3\( \frac{7}{30} \) - 1\( \frac{5}{12} \)) : 1\( \frac{1}{6} \)= (3\( \frac{14}{60} \) - 1\( \frac{25}{60} \)) : \( \frac{7}{6} \)= (2\( \frac{74}{60} \)) : \( \frac{7}{6} \)= 2\( \frac{37}{30} \) : \( \frac{7}{6} \)= \( \frac{97}{30} \) · \( \frac{6}{7} \)= \( \frac{97}{5} \) · \( \frac{1}{7} \)= \( \frac{97}{35} \)
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п) (1\( \frac{1}{2} \) + 2\( \frac{1}{3} \)) : 1\( \frac{1}{3} \)= (1\( \frac{3}{6} \) + 2\( \frac{2}{6} \)) : \( \frac{4}{3} \)= 3\( \frac{5}{6} \) : \( \frac{4}{3} \)= \( \frac{23}{6} \) · \( \frac{3}{4} \)= \( \frac{23}{2} \) · \( \frac{1}{4} \)= \( \frac{23}{8} \)
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р) (3\( \frac{2}{5} \) - \( \frac{5}{7} \)) · (\( \frac{31}{48} \) + 1) = (\( \frac{17}{5} \) - \( \frac{5}{7} \)) · (\( \frac{31}{48} \) + \( \frac{48}{48} \)) = (\( \frac{119}{35} \) - \( \frac{25}{35} \)) · \( \frac{79}{48} \)= \( \frac{94}{35} \) · \( \frac{79}{48} \)= \( \frac{47}{35} \) · \( \frac{79}{24} \)= \( \frac{3713}{840} \)
