178 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction 41. Four satellites revolve around the earth once every 6, 8, 10, and 15 hr, respectively. If the satellites are initially “lined up,” how many hours must pass before they will again be lined up? 42. Mercury, Venus, and Earth revolve around the Sun approximately once every 3 months, 7 months, and 12 months, respectively (see the figure). If the planets begin “lined up,” what is the minimum number of months required for them to be aligned again? (Assume that the planets lie roughly in the same plane.) Venus Mercury Earth Concept 5: Equivalent Fractions and Ordering Fractions For Exercises 43–60, rewrite each fraction with the indicated denominators. (See Example 5.) 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 7 5 35 11 9 99 10 3 18 7 6 42 3 7 70 4 5 15 3 10 50 3 4 16 2 9 27 5 8 16 7 4 32 2 3 21 55. 56. 57. 58. 59. 60. For Exercises 61–68, fill in the blanks with , , or . (See Example 6.) 61. 62. 63. 64. 65. 66. 67. 68. 8 21 9 24 8 27 5 18 4 16 5 20 2 8 3 12 21 6 15 4 22 15 13 10 11 20 7 15 3 4 7 8 5 66 198 3 14 70 18 7 700 11 4 4000 6 17 34 5 13 39
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