202 Chapter 3 Fractions and Mixed Numbers: Addition and Subtraction 2. Applications of Fractions and Mixed Numbers Examples 4 and 5 use operations on fractions and mixed numbers in real-world applications. Using Mixed Numbers in a Sports Application The graph in Figure 3-4 gives the winning height for the men’s high jump for selected Olympic games. a. What is the difference between the winning high jump in 1992 versus 1948? b. What is the average height from the 1948, 1960, 1968, and 1992 results? Winning High Jump Heights for Selected Olympic Games 8.0 7.6 7.2 6.8 6.4 6.0 Solution: a. The word “difference” implies subtraction.We subtract the 1948 height from The LCD of all four fractions is 12. the 1992 height. 3 6 1 The difference between the winning heights in 1992 and 1948 is b. The average height is found by taking the sum of the four heights and dividing by 4.The sum of the heights is given by 6 1 2 6 6 12 7 1 12 7 1 12 7 1 3 7 4 12 7 2 3 8 12 27 7 19 12 27 1 7 12 28 7 12 116 ft. 7 2 3 7 2 2 3 2 7 4 6 6 1 2 6 1 3 2 3 6 1 6 Figure 3-4 Height (ft) 5.6 John Winter, Australia, 1948 Robert Shavlakadze, USSR, 1960 Dick Fosbury, United States, 1968 Javier Sanabroa, Cuba, 1992 Andrey Silnov, Russia, 2008 1 12 7 1 2 6 1 3 7 3 4 2 7 3 7 Winning Discus Throw Results for Selected 250 200 150 100 50 3 4 180 Answers 4. a. b. 196 23 40 ft 13 47 120 ft Source: International Association of Athletics Federations 1992 height 1948 height Example 4 x Skill Practice 4. The graph gives the winning distance for men’s and women’s discus throw for selected Olympic games. Olympic Games 1 6 194 212 2 225 19 5 24 a. How much farther was the men’s throw than the women’s throw in 2008? b. What was the average throw for women for these two years? Distance (ft) 0 1960 Year 2008 Women Men Source: International Association of Athletics Federations
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