39. Вычислите:

Решение:

А) \( 2,4+(-5,36)-(-0,84)+(-3,24) = 2,4 - 5,36 + 0,84 - 3,24 = (2,4 + 0,84) - (5,36 + 3,24) = 3,24 - 8,60 = -5,36 \)

Б) \( -16,54+(-9,31)-11,27-(-23,38) = -16,54 - 9,31 - 11,27 + 23,38 = -(16,54 + 9,31 + 11,27) + 23,38 = -37,12 + 23,38 = -13,74 \)

В) \( 5\frac{3}{7} + ( -2\frac{1}{3} ) - ( -\frac{7}{15} ) = 5\frac{3}{7} - 2\frac{1}{3} + \frac{7}{15} = 5\frac{45}{105} - 2\frac{35}{105} + \frac{49}{105} = (5 - 2) + \frac{45 - 35 + 49}{105} = 3 + \frac{59}{105} = 3\frac{59}{105} \)

Г) \( 3\frac{5}{9} + ( -2\frac{1}{4} ) - ( -\frac{4}{6} ) - 5\frac{2}{3} = 3\frac{5}{9} - 2\frac{1}{4} + \frac{4}{6} - 5\frac{2}{3} = 3\frac{20}{36} - 2\frac{9}{36} + \frac{24}{36} - 5\frac{24}{36} = (3 - 2 - 5) + \frac{20 - 9 + 24 - 24}{36} = -4 + \frac{11}{36} = -3\frac{25}{36} \)

Д) \( -3,27 + (-4,84) + 6,51 + (-2,64) + 7,65 = -3,27 - 4,84 + 6,51 - 2,64 + 7,65 = (6,51 + 7,65) - (3,27 + 4,84 + 2,64) = 14,16 - 10,75 = 3,41 \)

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

Ё) \( -4\frac{5}{8} + ( -6\frac{5}{24} ) - ( -5\frac{7}{16} ) = -4\frac{15}{24} - 6\frac{5}{24} + 5\frac{21}{48} = -10\frac{20}{24} + 5\frac{21}{48} = -10\frac{40}{48} + 5\frac{21}{48} = -5\frac{19}{48} \)

Ж) \( 3,1 + (-4,72) + (-8,12) - (-0,96) = 3,1 - 4,72 - 8,12 + 0,96 = (3,1 + 0,96) - (4,72 + 8,12) = 4,06 - 12,84 = -8,78 \)

З) \( -18,31 - 6,27 + (-8,44) - (-31,67) = -18,31 - 6,27 - 8,44 + 31,67 = 31,67 - (18,31 + 6,27 + 8,44) = 31,67 - 33,02 = -1,35 \)

И) \( 6\frac{5}{12} - ( -4\frac{2}{3} ) + ( -2\frac{3}{4} ) = 6\frac{5}{12} + 4\frac{2}{3} - 2\frac{3}{4} = 6\frac{5}{12} + 4\frac{8}{12} - 2\frac{9}{12} = (6 + 4 - 2) + \frac{5 + 8 - 9}{12} = 8 + \frac{4}{12} = 8\frac{1}{3} \)

Й) \( 4\frac{5}{8} - 6\frac{2}{9} + ( -5\frac{1}{6} ) - ( -3\frac{3}{4} ) = 4\frac{5}{8} - 6\frac{2}{9} - 5\frac{1}{6} + 3\frac{3}{4} = (4 + 3) - (6 + 5) + \frac{5}{8} - \frac{2}{9} - \frac{1}{6} + \frac{3}{4} = 7 - 11 + \frac{45 - 16 - 12 + 54}{72} = -4 + \frac{71}{72} = -3\frac{1}{72} \)

К) \( 2\frac{5}{6} + ( -3\frac{1}{8} ) - ( -2\frac{7}{12} ) + 4\frac{3}{4} - ( -1\frac{2}{3} ) = 2\frac{5}{6} - 3\frac{1}{8} + 2\frac{7}{12} + 4\frac{3}{4} + 1\frac{2}{3} = (2 - 3 + 2 + 4 + 1) + \frac{5}{6} - \frac{1}{8} + \frac{7}{12} + \frac{3}{4} + \frac{2}{3} = 6 + \frac{20 - 3 + 14 + 18 + 8}{24} = 6 + \frac{57}{24} = 6 + 2\frac{9}{24} = 8\frac{3}{8} \)

Ответ: указаны выше.