d) Step 1: Identify the units given and the units we want to get. Write down the relationship between those units. We are given 5 2 3 yd and want to convert to feet. The relationship is 1 yd 3 ft Step 2: Multiply the given measurement by the unit fraction relating the unit given and the unit we want to get so that the given unit will divide out and leave us with the unit we want. 5 2 3 yd 3 ft 1 yd 17 3 yd 3 ft 1 yd Change the mixed number to an improper fraction. 17 31 yd 1 3 ft 1 yd Divide out 3; divide out the unit of yards. 17 ft 1 Multiply. 17 ft Simplify. So, 5 2 3 yd 17 ft. YOU TRY 4 Use unit analysis to convert each measurement to the indicated unit. a) 3 lb to ounces b) 9 c to pints c) 48 min to hours d) 2 1 4 mi to feet Sometimes, we have to use more than one unit fraction to convert to the desired unit. This is often done in science classes. 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 572 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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