146 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division Applying Multiplication of Mixed Numbers Antonio has a painting company, and he recently won a contract to paint eight large classrooms at a university. Each room requires gal of paint. How much paint is needed for this job? Solution: Amount needed for 8 rooms: The painter requires gal of paint. 5 Applying Division of Mixed Numbers A construction site brings in 6 tons of soil. Each truck holds ton. How many truckloads are necessary? Solution: The 6 tons of soil must be distributed in -ton increments. This will require division. 23 Write the mixed number as an improper fraction. Multiply by the reciprocal of the divisor. Simplify. Multiply. 20 3 20 3 10 20 31 10 1 10 3 2 3 1 21 6 2 3 2 3 2 3 2 3 A total of 10 truckloads of soil will be required. 2 3 2 3 Example 5 46 2 5 46 2 5 gal 232 5 gal 8 1 29 5 gal 8 a5 4 5 galb 8 a29 5 b gal 45 Example 4 Skill Practice 7. A recipe calls for cups of 234 12 flour. How much flour is required for 2times the recipe? 58 Answers 7. cups of flour 8. 64 packages 678 6 2 tons 3 2 ton 3 2 ton 3 2 ton 3 TIP: The solution to Example 4 can be estimated. In this case, the painter might want to overestimate the answer to be sure that he doesn’t run short of paint. We can round gal to 6 gal. Therefore, 545 our estimate is 8(6 gal) 48 gal of paint. Skill Practice 8. A department store wraps packages for $2 each. Ribbon 2 ft long is used to wrap each package. How many packages can be wrapped from a roll of ribbon 168 ft long?
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