53. Выполните сложение или вычитание.

Решение:

Выполним сложение и вычитание дробей и чисел, следуя примерам.

1. \( \frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6} \)
2. \( \frac{4}{7} + \frac{3}{14} = \frac{8}{14} + \frac{3}{14} = \frac{11}{14} \)
3. \( -2\frac{5}{6} + \left(-1\frac{1}{3}\right) = -2\frac{5}{6} - 1\frac{2}{6} = -3\frac{7}{6} = -4\frac{1}{6} \)
4. \( 7\frac{1}{5} + \left(-4\frac{4}{15}\right) = 7\frac{3}{15} - 4\frac{4}{15} = 6\frac{18}{15} - 4\frac{4}{15} = 2\frac{14}{15} \)
5. \( 2\frac{1}{6} + \left(-\frac{3}{8}\right) = 2\frac{4}{24} - \frac{9}{24} = 1\frac{28}{24} - \frac{9}{24} = 1\frac{19}{24} \)
6. \( -\frac{1}{12} + \frac{7}{60} = -\frac{5}{60} + \frac{7}{60} = \frac{2}{60} = \frac{1}{30} \)
7. \( -\frac{10}{9} + 1\frac{8}{9} = -1\frac{1}{9} + 1\frac{8}{9} = \frac{7}{9} \)
8. \( -3\frac{1}{2} + 7\frac{1}{3} = -3\frac{3}{6} + 7\frac{2}{6} = 6\frac{8}{6} - 3\frac{3}{6} = 3\frac{5}{6} \)
9. \( -\frac{2}{3} + 2\frac{1}{3} = -\frac{2}{3} + \frac{7}{3} = \frac{5}{3} = 1\frac{2}{3} \)
10. \( 1\frac{1}{3} + \left(-\frac{1}{2}\right) = 1\frac{2}{6} - \frac{3}{6} = \frac{8}{6} - \frac{3}{6} = \frac{5}{6} \)
11. \( 3\frac{1}{3} + \left(-1\frac{2}{3}\right) = 3\frac{1}{3} - 1\frac{2}{3} = 2\frac{4}{3} - 1\frac{2}{3} = 1\frac{2}{3} \)
12. \( -\frac{5}{11} + \frac{8}{33} = -\frac{15}{33} + \frac{8}{33} = -\frac{7}{33} \)
13. \( 3\frac{2}{5} - \left(-3\frac{3}{5}\right) = 3\frac{2}{5} + 3\frac{3}{5} = 6\frac{5}{5} = 7 \)
14. \( \frac{9}{11} - \frac{3}{44} = \frac{36}{44} - \frac{3}{44} = \frac{33}{44} = \frac{3}{4} \)
15. \( 45\frac{2}{7} - \left(-\frac{5}{7}\right) = 45\frac{2}{7} + \frac{5}{7} = 45\frac{7}{7} = 46 \)
16. \( 4\frac{3}{10} - 2\frac{1}{30} = 4\frac{9}{30} - 2\frac{1}{30} = 2\frac{8}{30} = 2\frac{4}{15} \)
17. \( 1\frac{5}{8} - \left(-\frac{5}{16}\right) = 1\frac{10}{16} + \frac{5}{16} = 1\frac{15}{16} \)
18. \( -59 - (-60) = -59 + 60 = 1 \)
19. \( 6,3 - 2,8 = 3,5 \)
20. \( 7,2 + (-0,8) = 7,2 - 0,8 = 6,4 \)
21. \( 3,8 - 4,9 = -1,1 \)
22. \( 2,01 - 3,71 = -1,7 \)
23. \( -1,2 + 6,5 = 5,3 \)
24. \( 2,8 - 4,9 = -2,1 \)
25. \( 3,2 - 2\frac{4}{15} = 3\frac{2}{10} - 2\frac{4}{15} = 3\frac{1}{5} - 2\frac{4}{15} = 3\frac{3}{15} - 2\frac{4}{15} = 2\frac{18}{15} - 2\frac{4}{15} = \frac{14}{15} \)
26. \( -5,2 + 1,6 = -3,6 \)
27. \( -7,2 + 0,8 = -6,4 \)
28. \( -4,4 - 4,7 = -9,1 \)
29. \( -3,7 - 2,1 = -5,8 \)
30. \( -4,3 - 5,4 = -9,7 \)
31. \( 5,33 + (-2,2) = 5,33 - 2,2 = 3,13 \)
32. \( 0,125 + \left(-2\frac{3}{8}\right) = \frac{1}{8} - 2\frac{3}{8} = \frac{1}{8} - \frac{19}{8} = -\frac{18}{8} = -\frac{9}{4} = -2\frac{1}{4} = -2,25 \)