Выполним сложение:
- -12 + 5 = -7
- -3,8 + 5,3 = 1,5
- 14,6 + (-6,4) = 14,6 - 6,4 = 8,2
- 8,19 + (-15,6) = 8,19 - 15,6 = -7,41
- -7,9 + 7,9 = 0
- -1 + 0,546 = -0,454
-
$$-\frac{7}{12} + \frac{9}{10} = -\frac{7 \cdot 5}{12 \cdot 5} + \frac{9 \cdot 6}{10 \cdot 6} = -\frac{35}{60} + \frac{54}{60} = \frac{54 - 35}{60} = \frac{19}{60}$$
-
$$5\frac{2}{9} + (-2\frac{3}{4}) = \frac{5 \cdot 9 + 2}{9} - \frac{2 \cdot 4 + 3}{4} = \frac{45 + 2}{9} - \frac{8 + 3}{4} = \frac{47}{9} - \frac{11}{4} = \frac{47 \cdot 4}{9 \cdot 4} - \frac{11 \cdot 9}{4 \cdot 9} = \frac{188}{36} - \frac{99}{36} = \frac{188 - 99}{36} = \frac{89}{36} = 2\frac{17}{36}$$
-
$$-5\frac{3}{8} + 4\frac{9}{10} = -\frac{5 \cdot 8 + 3}{8} + \frac{4 \cdot 10 + 9}{10} = -\frac{40 + 3}{8} + \frac{40 + 9}{10} = -\frac{43}{8} + \frac{49}{10} = -\frac{43 \cdot 5}{8 \cdot 5} + \frac{49 \cdot 4}{10 \cdot 4} = -\frac{215}{40} + \frac{196}{40} = \frac{196 - 215}{40} = -\frac{19}{40}$$
Ответ: 1) -7; 2) 1,5; 3) 8,2; 4) -7,41; 5) 0; 6) -0,454; 7) $$\frac{19}{60}$$; 8) 2$$\frac{17}{36}$$; 9) -$$\frac{19}{40}$$.