Objective 4: Add and Subtract Natural Numbers and Fractions Add or subtract by fi rst changing the natural number to an improper fraction. 69) 5 1 4 70) 3 1 8 71) 4 3 7 72) 2 5 6 73) 3 2 9 74) 2 3 4 Objective 5: Solve Applied Problems Involving Adding and Subtracting Fractions Solve the application problem. 75) An electrician has a wire that is 5 6 yd long. He cuts off a piece that is 4 9 yd long. How much wire is left? 76) A plumber has a piece of copper pipe that is 3 4 ft long. She cuts off a piece that is 3 8 ft long. How much of the pipe remains? 77) A surgeon had a 1-ft-long piece of surgical thread for closing an incision. She used 7 12 ft during the surgery. How much of the thread was not used? 78) A computer technician had a 1-in.-long piece of wire, and he used 5 16 in. while making repairs. How much of the wire was not used? 79) Rowena opens a lemonade stand. She wishes to line the perimeter of her table with decorative lemon- colored cloth. If the table is 4 3 yd long and 5 4 yd wide, what amount of cloth will she need to line the perimeter of the table? 80) At a science fair, Valerie hopes to impress the judges by lining the perimeter of her two poster boards with a string of blinking lights. If each poster board is 7 9 yd long and 11 18 yd wide, what length of blinking lights is needed to line the perimeter of both poster boards? 81) A recipe for rum sugar cookies requires 1 8 teaspoon of ground nutmeg, 1 2 teaspoon of almond extract, and 1 teaspoon of rum-fl avored extract. What is the total amount of nutmeg, almond extract, and rum-fl avored extract required for this recipe? 82) A lifeguard qualifi cation event requires that prospective lifeguards be able to complete an open water swim of 1 5 mi and a 1 2 -mi run on the sand within 25 min. What is the total distance traveled by the lifeguard applicants? 83) A performer wears a 2 3 -carat diamond earring, a 7 8 -carat diamond ring, and a pendant with three 3 4 -carat diamonds surrounding a 7 8 -carat diamond. What is the total carat weight of the diamonds? 84) Kelsie wears a diamond ring that has a 1 2 -carat solitaire diamond with two 1 8 -carat diamonds mounted on each side. What is the total carat weight of the ring? 85) If a student spends 1 3 of her scholarship check on tuition, 1 4 on books, and 1 8 on school supplies, what fraction of her scholarship check remains? 86) On Sunday just before fi nals week, Jason spends 1 8 of his day on Facebook, 1 6 watching TV, and 1 4 playing video games. If Jason slept 1 3 of the day (8 hours), what fraction of his day is left for studying? www.mhhe.com/messersmith SECTION 4.4 Adding and Subtracting Unlike Fractions 255
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