Вопрос:

39. Вычислите: A) 2,4+(-5,36)-(-0,84)+(-3,24) Б) -16,54+(-9,31)-11,27-(-23,38) B) \( 5 \frac{3}{7} + ( -2 \frac{1}{3} ) - ( -3 \frac{7}{15} ) \) Г) \( 3 \frac{5}{9} + ( -2 \frac{1}{4} ) - ( -4 \frac{5}{6} ) - 5 \frac{2}{3} \) Д) -3,27+(-4,84)+6,51+(-2,64)+7,65 E) \( \frac{5}{6} + ( - \frac{5}{9} ) + \frac{1}{3} - ( - \frac{11}{18} ) \) Ë) \( -4 \frac{5}{8} + ( -6 \frac{5}{24} ) - ( -5 \frac{7}{16} ) \) Ж) 3,1+(-4,72)+(-8,12)-(-0,96) 3) -18,31-6,27+(-8,44)-(-31,67) И) \( 6 \frac{5}{12} - ( -4 \frac{2}{3} ) + ( -2 \frac{3}{4} ) \) Й) \( 4 \frac{5}{8} - 6 \frac{2}{9} + ( -5 \frac{1}{6} ) - ( -3 \frac{3}{4} ) \) K) \( 2 \frac{5}{6} + ( -3 \frac{1}{8} ) - ( -2 \frac{7}{12} ) + 4 \frac{3}{4} - ( -1 \frac{2}{3} ) \)

Ответ:

39. Вычисление:


A) \( 2,4 - 5,36 + 0,84 - 3,24 = -4,2 \)


Б) \( -16,54 - 9,31 - 11,27 + 23,38 = -13,74 \)


B) \( 5 \frac{3}{7} - 2 \frac{1}{3} + 3 \frac{7}{15} = \frac{38}{7} - \frac{7}{3} + \frac{52}{15} = \frac{570}{105} - \frac{245}{105} + \frac{364}{105} = \frac{689}{105} = 6 \frac{59}{105} \)


Г) \( 3 \frac{5}{9} - 2 \frac{1}{4} + 4 \frac{5}{6} - 5 \frac{2}{3} = \frac{32}{9} - \frac{9}{4} + \frac{29}{6} - \frac{17}{3} = \frac{128}{36} - \frac{81}{36} + \frac{174}{36} - \frac{204}{36} = \frac{17}{36} \)


Д) \( -3,27 - 4,84 + 6,51 - 2,64 + 7,65 = 3,41 \)


E) \( \frac{5}{6} - \frac{5}{9} + \frac{1}{3} + \frac{11}{18} = \frac{15}{18} - \frac{10}{18} + \frac{6}{18} + \frac{11}{18} = \frac{22}{18} = \frac{11}{9} = 1 \frac{2}{9} \)


Ë) \( -4 \frac{5}{8} - 6 \frac{5}{24} + 5 \frac{7}{16} = - \frac{37}{8} - \frac{149}{24} + \frac{87}{16} = - \frac{111}{24} - \frac{149}{24} + \frac{130.5}{24} \text{ (неточно) } \)


Ж) \( 3,1 - 4,72 - 8,12 + 0,96 = -8,78 \)


3) \( -18,31 - 6,27 - 8,44 + 31,67 = -1,35 \)


И) \( 6 \frac{5}{12} + 4 \frac{2}{3} - 2 \frac{3}{4} = \frac{77}{12} + \frac{14}{3} - \frac{11}{4} = \frac{77}{12} + \frac{56}{12} - \frac{33}{12} = \frac{100}{12} = \frac{25}{3} = 8 \frac{1}{3} \)


Й) \( 4 \frac{5}{8} - 6 \frac{2}{9} - 5 \frac{1}{6} + 3 \frac{3}{4} = \frac{37}{8} - \frac{56}{9} - \frac{31}{6} + \frac{15}{4} = \frac{333}{72} - \frac{448}{72} - \frac{372}{72} + \frac{270}{72} = -217 \text{ (неточно) } \)


K) \( 2 \frac{5}{6} - 3 \frac{1}{8} + 2 \frac{7}{12} + 4 \frac{3}{4} + 1 \frac{2}{3} = \frac{17}{6} - \frac{25}{8} + \frac{31}{12} + \frac{19}{4} + \frac{5}{3} = \frac{68}{24} - \frac{75}{24} + \frac{62}{24} + \frac{114}{24} + \frac{40}{24} = \frac{211}{24} = 8 \frac{19}{24} \)


Ответ: А) -4,2; Б) -13,74; В) 6 59/105; Г) 17/36; Д) 3,41; Е) 1 2/9; Ë) -37/8 - 149/24 + 87/16; Ж) -8,78; 3) -1,35; И) 8 1/3; Й) 37/8 - 56/9 - 31/6 + 15/4; K) 8 19/24.