Convert 96 in. to yards. Solution We are given inches and want to convert to yards. We will use two relationships to do this conversion. They are 12 in. 1 ft and 3 ft 1 yd ⎧⎨⎩ Use this unit fraction to change inches to feet. EXAMPLE 5 YOU TRY 5 Convert 1200 sec to hours. Use this unit fraction to change feet to yards. 8 in. 1 96 1 ft 12 1 in. ⎧⎨⎩ 1 yd 3 ft 8 yd 3 Multiply. 8 3 yd or 2 2 3 yd Use unit analysis to convert 3 days to seconds. Solution We are given days and want to convert to seconds. The relationships are 1 day 24 hr 1 hr 60 min 1 min 60 sec We will do this conversion in a single step using more than one unit fraction. Use this unit fraction to change hours to minutes. 3 days 1 24 hr 1 day ⎧⎨⎩ 60 min 1 hr 60 sec 1 min Divide out the correct units. ⎧⎨⎩ Use this unit fraction to change days to hours. ⎧⎨⎩ Finally, use this unit fraction to change minutes to seconds. 259,200 sec 1 259,200 sec Multiply and simplify. Therefore, 3 days 259,200 sec. EXAMPLE 6 YOU TRY 6 Use unit analysis to convert 3 gal to cups. www.mhhe.com/messersmith SECTION 7.1 Using U.S. Customary Measurements 439
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