Exercises 1 - Kent



Convert each improper fraction to a mixed number.

1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic]

Convert each mixed number to an improper fraction.

9. [pic] 10. [pic] 11. [pic] 12. [pic]

14. [pic] 15. [pic] 16. [pic] 17. [pic]

Convert each percent to a fraction and reduce it , if possible.

18. 75 % 19. 36 % 20. 5 % 21. 15 %

22. 24 % 23. 5.6 % 24. 82 % 25. 2.5 %

Convert each percent to a decimal.

26. 60 % 27. 25 % 28. 33 % 29. 15 %

30. 4 % 31. 18% 32. 75 % 33. 120 %

Find the equivalence for decimals, percents, and fractions of the following numbers.

34. 0.45 % 35. 0.07 % 36. 1200 %

37. 1.6 38. 55.8 39. 0.003

40. [pic] 41. [pic] 42.. [pic]

43. [pic] 44. [pic] 45. [pic]

46. 16.3 % 47. 1250 % 48. [pic]

49. 4.5 50. 0.02 51. [pic] %

Reduce each fraction if possible .

52. [pic] 53. [pic] 54. [pic]

55. [pic] 56. [pic] 57. [pic]

Add or subtract the fractions; reduce all results to the simplest form.

58. [pic] 59. [pic] 60. [pic]

61. [pic] 62. [pic] 63. [pic]

64. [pic] 65. [pic] 66. [pic]

Multiply , reduce results if possible.

67. [pic] 68. [pic] 69. [pic]

70. [pic] 71. [pic] 72. [pic]

Divide, reduce results if possible.

73. [pic] 74. [pic] 75. [pic]

76. [pic] 77. [pic] 78. [pic]

Perform the indicated operations, express answers in the simplest form.

79. [pic] 80. [pic] 81. [pic] [pic][pic][pic]

82. [pic] 83. [pic] 84. [pic]

85. [pic] 86. [pic]

The following diagram represents [pic] of a whole. Complete the figure to find the whole.

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Some of the balls are taken from a box and 18 balls are left. This number 18 is two – thirds of the number that was originally in the box. How many balls were there in the box originally?

Tom ordered a pizza with twelve slices, with a third was cheese, a third was pepperoni, and a third was

sausage. If Tom eats a fourth of each third, what fraction of pizza did he eat?

ANSWERS to Supplemental Problems Ch1, Sec.1.9

1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic]

9. [pic] 10. [pic] 11. [pic] 12. [pic]

14. [pic] 15. [pic] 16. [pic] 17. [pic]

18. [pic] 19. [pic] 20. [pic] 21. [pic]

22. [pic] 23. [pic] 24. [pic] 25. [pic]

26. 0.60 27. 0. 25 28. 0.33 29. 0.15

30. 0.04 31. 0.18 32. 0.75 33. 1.20

34. 0.45 % =0.0045=[pic] 35. 0.07 % = 0.0007=[pic] 36. 1200 %=12=12[pic]

37. 1.6 = 160%=[pic] 38. 55.8 =0.558=[pic] 39. 0.003 =0.3%=[pic]

40. [pic] = 5.6%=5.6 41. [pic] =1.8=180% 42.. [pic]=0.7143=71.14%

43. [pic] = 0.375=37.5% 44. [pic] 45.[pic]

46. 16.3 % =[pic]=0.163 47. 1250 %=12.5=[pic] 48. [pic]=0.01=1%

49. 4.5= 450%= [pic] 50. 0.02 =2%=[pic] 51. [pic] %=[pic]=0.0825

ANSWERS to Supplemental Problems Ch1, Sec.1.9

52. [pic]=[pic] 53. [pic]= reduced 54. [pic]= [pic]

55. [pic] 56. [pic] 57. [pic]

58. [pic] 59. [pic] 60. [pic]

61. [pic] 62. [pic] 63. [pic]

64. [pic] 65. [pic] 66. [pic]

67. [pic] 68. [pic] 69. [pic]

70. [pic] 71. [pic] 72. [pic]

73. [pic] 74. [pic] 75. [pic]

76. [pic] 77. [pic] 78. [pic]

79. 59 80. [pic] 81. [pic] [pic][pic][pic]

82. [pic] 83. [pic] 84. [pic]

85. [pic] 86. [pic]

87.

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27

[pic] ( Tom ate 3 pieces out of total 12 pieces of pizza )

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