120 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division 57. 58. 59. 60. For Exercises 61–68, simplify to lowest terms by first reducing the powers of 10. (See Example 4.) 61. 62. 63. 64. 65. 66. 67. 68. Concept 3: Applications of Simplifying Fractions 69. André tossed a coin 48 times and heads came up 20 times.What fractional part of the tosses came up heads? What fractional part came up tails? 70. At Pizza Company, Lee made 70 pizzas one day. There were 105 pizzas sold that day.What fraction of the pizzas did Lee make? 71. a. What fraction of the alphabet is made up of vowels? (Include the letter y as a vowel, not a consonant.) b. What fraction of the alphabet is made up of consonants? 72. Of the 88 constellations that can be seen in the night sky, 12 are associated with astrological horoscopes.The names of as many as 36 constellations are associated with animals or mythical creatures. a. Of the 88 constellations, what fraction is associated with horoscopes? b. What fraction of the constellations have names associated with animals or mythical creatures? 73. Jonathan and Jared both sold candy bars for a fund-raiser. Jonathan sold 25 of his 35 candy bars, and Jared sold 24 of his 28 candy bars. (See Example 5.) a. What fractional part of his total number of candy bars did each boy sell? b. Which boy sold the greater fractional part? 74. Lisa and Lynette are taking online courses. Lisa has completed 14 out of 16 assignments in her course while Lynette has completed 15 out of 24 assignments. a. What fractional part of her total number of assignments did each woman complete? b. Which woman has completed more of her course? 75. Raymond read 720 pages of a 792-page book. His roommate,Travis, read 540 pages from a 660-page book. a. What fractional part of the book did each person read? b. Which of the roommates read a greater fraction of his book? 76. Mr. Zahnen and Ms.Waymire both gave exams today. By mid-afternoon, Mr. Zahnen had finished grading 16 out of 36 exams, and Ms.Waymire had finished grading 15 out of 27 exams. a. What fractional part of her total has Ms.Waymire completed? b. What fractional part of his total has Mr. Zahnen completed? 9800 28,000 5100 30,000 50,000 65,000 42,000 22,000 2000 1500 3000 1800 720 800 120 160 15 3 15 3 8 2 8 2 4 7 11 11 7 2 5 5
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