Fracciones 2

Operaciones con Fracciones

1. \(\frac {6}{50} - \frac{8}{45} - \frac{3}{20}\). Resp: \(\frac{-187}{900}\).
2. \(\frac{2}{15} \cdot \left( \frac{2}{45} + \frac{3}{12} \right) + \frac{4}{60} \cdot \left( \frac{8}{225} - \frac{2}{3} \right)\) Resp: \(\frac{-19}{6750}\).
3. \(\left( \frac{9}{90} - \frac{4}{50} \right) \cdot \left( \frac{6}{2} + \frac{3}{900} \right) - \frac{6}{60}\) Resp: \(\frac{-599}{15000}\).
4. \(\left( \frac{7}{2} - \frac{9}{25} \right) \cdot \left( \frac{6}{6} - \frac{9}{5} \right) + \left( \frac{4}{18} + \frac{2}{20} \right) \cdot \left( \frac{2}{3} - \frac{2}{300} \right)\) Resp: \( \frac{-3449}{1500} \).
5. \(\frac {4}{20} - \frac{1}{25} + \frac{7}{9}\). Resp: \(\frac{211}{225}\).
6. \(\frac{8}{12} \cdot \left( \frac{3}{45} - \frac{7}{5} \right) - \frac{9}{900} \cdot \left( \frac{4}{2} + \frac{8}{225} \right)\) Resp: \(\frac{-10229}{11250}\).
7. \(\left( \frac{9}{100} - \frac{1}{225} \right) \cdot \left( \frac{6}{50} + \frac{7}{3} \right) + \frac{8}{450}\) Resp: \(\frac{3842}{16875}\).
8. \(\left( \frac{6}{9} - \frac{9}{225} \right) \cdot \left( \frac{3}{12} - \frac{8}{4} \right) - \left( \frac{8}{3} + \frac{2}{30} \right) \cdot \left( \frac{6}{45} - \frac{8}{50} \right)\) Resp: \( \frac{-4607}{4500} \).
9. \(\frac {1}{45} - \frac{3}{75} + \frac{2}{9}\). Resp: \(\frac{46}{225}\).
10. \(\frac{5}{30} \cdot \left( \frac{5}{9} - \frac{3}{180} \right) - \frac{7}{150} \cdot \left( \frac{7}{12} + \frac{2}{3} \right)\) Resp: \(\frac{17}{540}\).
11. \(\left( \frac{4}{100} - \frac{8}{75} \right) \cdot \left( \frac{9}{60} - \frac{2}{50} \right) - \frac{7}{45}\) Resp: \(\frac{-733}{4500}\).
12. \(\left( \frac{2}{50} + \frac{6}{6} \right) \cdot \left( \frac{8}{180} + \frac{2}{45} \right) - \left( \frac{7}{180} - \frac{9}{2} \right) \cdot \left( \frac{7}{25} - \frac{2}{30} \right)\) Resp: \( \frac{3524}{3375} \).
13. \(\frac {7}{30} + \frac{4}{2} - \frac{8}{225}\). Resp: \(\frac{989}{450}\).
14. \(\frac{9}{6} \cdot \left( \frac{7}{75} - \frac{5}{6} \right) - \frac{2}{6} \cdot \left( \frac{7}{100} - \frac{5}{50} \right)\) Resp: \(\frac{-11}{10}\).
15. \(\left( \frac{6}{6} - \frac{2}{60} \right) \cdot \left( \frac{6}{180} + \frac{1}{180} \right) - \frac{6}{1}\) Resp: \(\frac{-32197}{5400}\).
16. \(\left( \frac{3}{4} + \frac{1}{20} \right) \cdot \left( \frac{7}{10} - \frac{1}{50} \right) - \left( \frac{3}{30} + \frac{8}{2} \right) \cdot \left( \frac{3}{60} + \frac{3}{50} \right)\) Resp: \( \frac{93}{1000} \).
17. \(\frac {2}{10} + \frac{1}{36} + \frac{2}{100}\). Resp: \(\frac{223}{900}\).
18. \(\frac{6}{2} \cdot \left( \frac{1}{20} - \frac{4}{9} \right) - \frac{1}{20} \cdot \left( \frac{3}{5} + \frac{6}{180} \right)\) Resp: \(\frac{-243}{200}\).
19. \(\left( \frac{3}{18} - \frac{5}{2} \right) \cdot \left( \frac{5}{60} - \frac{7}{100} \right) - \frac{4}{180}\) Resp: \(\frac{-4}{75}\).
20. \(\left( \frac{3}{900} + \frac{3}{90} \right) \cdot \left( \frac{8}{36} - \frac{5}{10} \right) + \left( \frac{1}{450} + \frac{7}{90} \right) \cdot \left( \frac{6}{900} + \frac{6}{4} \right)\) Resp: \( \frac{14897}{135000} \).
21. \(\frac {1}{45} + \frac{1}{10} + \frac{1}{30}\). Resp: \(\frac{7}{45}\).
22. \(\frac{3}{20} \cdot \left( \frac{2}{18} + \frac{2}{1} \right) + \frac{4}{15} \cdot \left( \frac{3}{300} - \frac{3}{180} \right)\) Resp: \(\frac{1417}{4500}\).
23. \(\left( \frac{5}{5} - \frac{8}{1} \right) \cdot \left( \frac{5}{150} - \frac{8}{900} \right) - \frac{5}{225}\) Resp: \(\frac{-29}{150}\).
24. \(\left( \frac{3}{150} - \frac{4}{300} \right) \cdot \left( \frac{1}{450} - \frac{9}{50} \right) + \left( \frac{8}{90} - \frac{7}{50} \right) \cdot \left( \frac{2}{5} + \frac{7}{5} \right)\) Resp: \( \frac{-629}{6750} \).
25. \(\frac {9}{100} + \frac{5}{18} - \frac{4}{45}\). Resp: \(\frac{251}{900}\).
26. \(\frac{7}{300} \cdot \left( \frac{4}{150} + \frac{5}{75} \right) - \frac{4}{12} \cdot \left( \frac{7}{15} - \frac{6}{1} \right)\) Resp: \(\frac{41549}{22500}\).
27. \(\left( \frac{8}{6} + \frac{8}{3} \right) \cdot \left( \frac{4}{300} - \frac{3}{45} \right) + \frac{1}{36}\) Resp: \(\frac{-167}{900}\).
28. \(\left( \frac{3}{150} - \frac{8}{45} \right) \cdot \left( \frac{7}{450} + \frac{7}{10} \right) - \left( \frac{4}{150} - \frac{8}{225} \right) \cdot \left( \frac{2}{18} - \frac{2}{100} \right)\) Resp: \( \frac{-1261}{11250} \).
29. \(\frac {3}{45} - \frac{2}{180} + \frac{6}{180}\). Resp: \(\frac{4}{45}\).
30. \(\frac{3}{45} \cdot \left( \frac{9}{20} - \frac{9}{30} \right) + \frac{1}{36} \cdot \left( \frac{2}{225} + \frac{8}{45} \right)\) Resp: \(\frac{41}{2700}\).
31. \(\left( \frac{2}{3} - \frac{9}{30} \right) \cdot \left( \frac{1}{12} - \frac{2}{50} \right) + \frac{5}{10}\) Resp: \(\frac{4643}{9000}\).
32. \(\left( \frac{8}{1} + \frac{9}{12} \right) \cdot \left( \frac{7}{180} + \frac{5}{6} \right) + \left( \frac{8}{36} - \frac{5}{9} \right) \cdot \left( \frac{6}{36} - \frac{3}{300} \right)\) Resp: \( \frac{27287}{3600} \).
33. \(\frac {2}{2} + \frac{5}{4} + \frac{4}{50}\). Resp: \(\frac{233}{100}\).
34. \(\frac{3}{20} \cdot \left( \frac{3}{12} + \frac{3}{225} \right) - \frac{3}{60} \cdot \left( \frac{6}{9} - \frac{9}{450} \right)\) Resp: \(\frac{43}{6000}\).
35. \(\left( \frac{1}{225} - \frac{6}{15} \right) \cdot \left( \frac{2}{4} + \frac{4}{36} \right) - \frac{6}{9}\) Resp: \(\frac{-3679}{4050}\).
36. \(\left( \frac{7}{300} - \frac{7}{45} \right) \cdot \left( \frac{8}{450} + \frac{9}{25} \right) + \left( \frac{2}{900} - \frac{3}{60} \right) \cdot \left( \frac{7}{18} - \frac{9}{30} \right)\) Resp: \( \frac{-439}{8100} \).
37. \(\frac {3}{9} + \frac{2}{20} + \frac{5}{18}\). Resp: \(\frac{32}{45}\).
38. \(\frac{5}{36} \cdot \left( \frac{2}{20} - \frac{6}{75} \right) - \frac{4}{6} \cdot \left( \frac{5}{1} + \frac{6}{50} \right)\) Resp: \(\frac{-6139}{1800}\).
39. \(\left( \frac{6}{100} + \frac{2}{75} \right) \cdot \left( \frac{8}{50} - \frac{8}{18} \right) + \frac{5}{100}\) Resp: \(\frac{1711}{67500}\).
40. \(\left( \frac{7}{450} - \frac{1}{4} \right) \cdot \left( \frac{2}{15} - \frac{4}{75} \right) - \left( \frac{5}{15} + \frac{8}{100} \right) \cdot \left( \frac{2}{12} - \frac{2}{30} \right)\) Resp: \( \frac{-338}{5625} \).
41. \(\frac {5}{25} - \frac{6}{300} + \frac{6}{900}\). Resp: \(\frac{14}{75}\).
42. \(\frac{7}{45} \cdot \left( \frac{7}{10} + \frac{2}{1} \right) - \frac{1}{15} \cdot \left( \frac{3}{1} - \frac{4}{2} \right)\) Resp: \(\frac{53}{150}\).
43. \(\left( \frac{1}{30} - \frac{8}{6} \right) \cdot \left( \frac{4}{5} - \frac{5}{36} \right) - \frac{6}{75}\) Resp: \(\frac{-1691}{1800}\).
44. \(\left( \frac{1}{12} - \frac{8}{180} \right) \cdot \left( \frac{4}{10} + \frac{4}{12} \right) + \left( \frac{2}{4} - \frac{5}{60} \right) \cdot \left( \frac{1}{75} + \frac{4}{15} \right)\) Resp: \( \frac{98}{675} \).
45. \(\frac {9}{60} + \frac{7}{90} + \frac{3}{30}\). Resp: \(\frac{59}{180}\).
46. \(\frac{1}{3} \cdot \left( \frac{9}{10} + \frac{2}{20} \right) + \frac{6}{75} \cdot \left( \frac{3}{2} + \frac{9}{225} \right)\) Resp: \(\frac{856}{1875}\).
47. \(\left( \frac{9}{450} - \frac{2}{75} \right) \cdot \left( \frac{1}{9} - \frac{9}{75} \right) + \frac{2}{12}\) Resp: \(\frac{5627}{33750}\).
48. \(\left( \frac{2}{12} - \frac{5}{15} \right) \cdot \left( \frac{9}{10} - \frac{3}{25} \right) + \left( \frac{1}{4} - \frac{2}{20} \right) \cdot \left( \frac{2}{60} + \frac{3}{9} \right)\) Resp: \( \frac{-3}{40} \).
49. \(\frac {6}{5} - \frac{2}{4} + \frac{9}{180}\). Resp: \(\frac{3}{4}\).
50. \(\frac{1}{225} \cdot \left( \frac{9}{900} + \frac{5}{45} \right) - \frac{3}{150} \cdot \left( \frac{8}{225} - \frac{2}{36} \right)\) Resp: \(\frac{19}{20250}\).
51. \(\left( \frac{2}{75} + \frac{5}{90} \right) \cdot \left( \frac{9}{5} - \frac{5}{100} \right) - \frac{8}{150}\) Resp: \(\frac{163}{1800}\).
52. \(\left( \frac{3}{9} + \frac{8}{9} \right) \cdot \left( \frac{2}{10} - \frac{8}{90} \right) - \left( \frac{5}{25} - \frac{1}{150} \right) \cdot \left( \frac{8}{25} + \frac{9}{225} \right)\) Resp: \( \frac{6703}{101250} \).
53. \(\frac {5}{900} + \frac{6}{225} - \frac{4}{25}\). Resp: \(\frac{-23}{180}\).
54. \(\frac{5}{90} \cdot \left( \frac{5}{450} + \frac{2}{60} \right) + \frac{8}{225} \cdot \left( \frac{9}{900} - \frac{6}{900} \right)\) Resp: \(\frac{131}{50625}\).
55. \(\left( \frac{6}{900} + \frac{6}{300} \right) \cdot \left( \frac{1}{900} - \frac{1}{300} \right) - \frac{6}{20}\) Resp: \(\frac{-10127}{33750}\).
56. \(\left( \frac{1}{2} - \frac{3}{3} \right) \cdot \left( \frac{4}{300} + \frac{3}{100} \right) - \left( \frac{8}{10} + \frac{2}{75} \right) \cdot \left( \frac{1}{300} - \frac{9}{450} \right)\) Resp: \( \frac{-71}{9000} \).
57. \(\frac {2}{5} - \frac{8}{60} + \frac{2}{10}\). Resp: \(\frac{7}{15}\).
58. \(\frac{4}{150} \cdot \left( \frac{4}{60} + \frac{4}{15} \right) + \frac{5}{30} \cdot \left( \frac{6}{60} + \frac{2}{15} \right)\) Resp: \(\frac{43}{900}\).
59. \(\left( \frac{6}{180} - \frac{5}{100} \right) \cdot \left( \frac{3}{60} + \frac{8}{150} \right) - \frac{2}{300}\) Resp: \(\frac{-151}{18000}\).
60. \(\left( \frac{2}{225} + \frac{3}{60} \right) \cdot \left( \frac{6}{2} + \frac{5}{12} \right) + \left( \frac{6}{45} + \frac{4}{5} \right) \cdot \left( \frac{7}{450} + \frac{2}{5} \right)\) Resp: \( \frac{10603}{18000} \).
61. \(\frac {8}{30} + \frac{3}{20} + \frac{2}{300}\). Resp: \(\frac{127}{300}\).
62. \(\frac{1}{12} \cdot \left( \frac{1}{9} - \frac{3}{18} \right) - \frac{3}{15} \cdot \left( \frac{4}{6} + \frac{4}{2} \right)\) Resp: \(\frac{-581}{1080}\).
63. \(\left( \frac{7}{6} - \frac{2}{45} \right) \cdot \left( \frac{9}{900} + \frac{8}{12} \right) + \frac{2}{18}\) Resp: \(\frac{23503}{27000}\).
64. \(\left( \frac{6}{45} + \frac{4}{18} \right) \cdot \left( \frac{4}{12} - \frac{2}{45} \right) + \left( \frac{1}{300} - \frac{3}{12} \right) \cdot \left( \frac{1}{3} - \frac{2}{3} \right)\) Resp: \( \frac{749}{4050} \).
65. \(\frac {5}{18} + \frac{9}{2} - \frac{9}{9}\). Resp: \(\frac{34}{9}\).
66. \(\frac{3}{9} \cdot \left( \frac{2}{300} - \frac{9}{15} \right) - \frac{2}{300} \cdot \left( \frac{1}{180} + \frac{6}{180} \right)\) Resp: \(\frac{-5347}{27000}\).
67. \(\left( \frac{3}{450} + \frac{2}{60} \right) \cdot \left( \frac{5}{180} - \frac{6}{3} \right) - \frac{2}{60}\) Resp: \(\frac{-101}{900}\).
68. \(\left( \frac{2}{900} + \frac{7}{9} \right) \cdot \left( \frac{6}{1} + \frac{2}{180} \right) - \left( \frac{2}{5} - \frac{7}{36} \right) \cdot \left( \frac{5}{9} - \frac{6}{4} \right)\) Resp: \( \frac{395507}{81000} \).
69. \(\frac {7}{150} - \frac{4}{36} + \frac{1}{50}\). Resp: \(\frac{-2}{45}\).
70. \(\frac{4}{5} \cdot \left( \frac{9}{9} - \frac{3}{25} \right) + \frac{7}{75} \cdot \left( \frac{1}{1} + \frac{2}{60} \right)\) Resp: \(\frac{1801}{2250}\).
71. \(\left( \frac{5}{4} + \frac{3}{10} \right) \cdot \left( \frac{4}{25} + \frac{3}{225} \right) + \frac{2}{20}\) Resp: \(\frac{553}{1500}\).
72. \(\left( \frac{4}{180} + \frac{7}{4} \right) \cdot \left( \frac{6}{2} - \frac{5}{450} \right) + \left( \frac{1}{3} - \frac{8}{60} \right) \cdot \left( \frac{4}{45} - \frac{7}{450} \right)\) Resp: \( \frac{430243}{81000} \).
73. \(\frac {9}{50} - \frac{9}{20} - \frac{1}{20}\). Resp: \(\frac{-8}{25}\).
74. \(\frac{7}{1} \cdot \left( \frac{1}{25} - \frac{6}{225} \right) + \frac{7}{50} \cdot \left( \frac{4}{5} - \frac{5}{4} \right)\) Resp: \(\frac{91}{3000}\).
75. \(\left( \frac{8}{225} - \frac{2}{4} \right) \cdot \left( \frac{9}{30} + \frac{8}{36} \right) + \frac{3}{100}\) Resp: \(\frac{-2152}{10125}\).
76. \(\left( \frac{6}{900} - \frac{5}{20} \right) \cdot \left( \frac{9}{10} - \frac{6}{90} \right) + \left( \frac{7}{300} + \frac{6}{150} \right) \cdot \left( \frac{7}{150} - \frac{4}{1} \right)\) Resp: \( \frac{-2549}{5625} \).
77. \(\frac {7}{12} - \frac{7}{10} + \frac{9}{50}\). Resp: \(\frac{19}{300}\).
78. \(\frac{2}{75} \cdot \left( \frac{1}{15} - \frac{3}{2} \right) + \frac{1}{25} \cdot \left( \frac{9}{45} + \frac{5}{300} \right)\) Resp: \(\frac{-133}{4500}\).
79. \(\left( \frac{7}{9} + \frac{1}{10} \right) \cdot \left( \frac{7}{20} - \frac{5}{20} \right) - \frac{2}{300}\) Resp: \(\frac{73}{900}\).
80. \(\left( \frac{6}{900} - \frac{9}{50} \right) \cdot \left( \frac{8}{300} - \frac{4}{6} \right) + \left( \frac{4}{9} - \frac{5}{300} \right) \cdot \left( \frac{3}{180} + \frac{6}{10} \right)\) Resp: \( \frac{101177}{270000} \).
81. \(\frac {4}{225} + \frac{8}{4} + \frac{3}{1}\). Resp: \(\frac{1129}{225}\).
82. \(\frac{3}{90} \cdot \left( \frac{7}{5} + \frac{2}{450} \right) + \frac{9}{2} \cdot \left( \frac{2}{36} - \frac{8}{9} \right)\) Resp: \(\frac{-49993}{13500}\).
83. \(\left( \frac{4}{4} - \frac{6}{900} \right) \cdot \left( \frac{6}{10} + \frac{3}{15} \right) + \frac{7}{60}\) Resp: \(\frac{1367}{1500}\).
84. \(\left( \frac{5}{2} + \frac{2}{20} \right) \cdot \left( \frac{2}{225} + \frac{2}{150} \right) - \left( \frac{2}{450} + \frac{5}{60} \right) \cdot \left( \frac{7}{5} - \frac{9}{15} \right)\) Resp: \( \frac{-14}{1125} \).
85. \(\frac {1}{10} + \frac{7}{15} - \frac{7}{30}\). Resp: \(\frac{1}{3}\).
86. \(\frac{5}{180} \cdot \left( \frac{3}{25} - \frac{7}{450} \right) - \frac{2}{9} \cdot \left( \frac{6}{25} + \frac{7}{9} \right)\) Resp: \(\frac{-3617}{16200}\).
87. \(\left( \frac{5}{36} - \frac{5}{50} \right) \cdot \left( \frac{2}{4} - \frac{8}{15} \right) + \frac{2}{450}\) Resp: \(\frac{17}{5400}\).
88. \(\left( \frac{1}{50} + \frac{7}{30} \right) \cdot \left( \frac{1}{10} - \frac{2}{900} \right) - \left( \frac{7}{2} + \frac{6}{4} \right) \cdot \left( \frac{7}{5} + \frac{1}{15} \right)\) Resp: \( \frac{-123332}{16875} \).
89. \(\frac {8}{4} + \frac{3}{4} + \frac{8}{100}\). Resp: \(\frac{283}{100}\).
90. \(\frac{4}{60} \cdot \left( \frac{4}{180} - \frac{8}{15} \right) + \frac{6}{9} \cdot \left( \frac{8}{25} - \frac{9}{6} \right)\) Resp: \(\frac{-554}{675}\).
91. \(\left( \frac{6}{150} + \frac{7}{900} \right) \cdot \left( \frac{9}{50} + \frac{2}{30} \right) + \frac{4}{3}\) Resp: \(\frac{181591}{135000}\).
92. \(\left( \frac{5}{15} - \frac{4}{900} \right) \cdot \left( \frac{5}{50} + \frac{1}{150} \right) - \left( \frac{9}{15} + \frac{2}{6} \right) \cdot \left( \frac{3}{12} - \frac{3}{4} \right)\) Resp: \( \frac{8467}{16875} \).
93. \(\frac {5}{150} - \frac{5}{6} + \frac{2}{4}\). Resp: \(\frac{-3}{10}\).
94. \(\frac{3}{9} \cdot \left( \frac{1}{1} - \frac{9}{9} \right) + \frac{4}{2} \cdot \left( \frac{1}{900} + \frac{5}{18} \right)\) Resp: \(\frac{251}{450}\).
95. \(\left( \frac{9}{50} - \frac{4}{30} \right) \cdot \left( \frac{3}{60} - \frac{9}{9} \right) + \frac{9}{30}\) Resp: \(\frac{767}{3000}\).
96. \(\left( \frac{7}{100} - \frac{9}{45} \right) \cdot \left( \frac{2}{30} + \frac{1}{150} \right) + \left( \frac{5}{60} + \frac{4}{450} \right) \cdot \left( \frac{3}{20} + \frac{5}{50} \right)\) Resp: \( \frac{1217}{90000} \).
97. \(\frac {4}{36} - \frac{1}{150} + \frac{8}{225}\). Resp: \(\frac{7}{50}\).
98. \(\frac{9}{36} \cdot \left( \frac{1}{90} + \frac{9}{20} \right) + \frac{8}{90} \cdot \left( \frac{1}{45} - \frac{1}{450} \right)\) Resp: \(\frac{2107}{18000}\).
99. \(\left( \frac{4}{18} + \frac{2}{300} \right) \cdot \left( \frac{2}{10} - \frac{6}{5} \right) - \frac{6}{60}\) Resp: \(\frac{-74}{225}\).
100. \(\left( \frac{2}{15} + \frac{9}{1} \right) \cdot \left( \frac{5}{75} + \frac{2}{60} \right) - \left( \frac{1}{6} - \frac{9}{6} \right) \cdot \left( \frac{3}{75} - \frac{8}{3} \right)\) Resp: \( \frac{-233}{90} \).