Note If we had written the unit fraction with weeks in the numerator and days in the denominator, we would not have been able to divide out the units: 5 wk 1 wk 7 days . So, if you do not set up the problem correctly the first time, the units will let you know! In that case, try switching the numerator and denominator to see whether the units will divide out. b) Step 1: Identify the units given and the units we want to get. Write down the relationship between those units. We are given 7 pints and want to convert to quarts. The relationship is 2 pt 1 qt 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. 7 pt 1 qt 2 pt 7 pt 1 1 qt 2 pt Divide out the unit of pints. 7 qt 2 Multiply. 7 2 qt Simplify. 3 1 2 qt or 3.5 qt Write the fi nal answer as a mixed number or decimal. Therefore, 7 pt 3 1 2 qt or 3.5 qt. c) Step 1: Identify the units given and the units we want to get. Write down the relationship between those units. We are given 1800 lb and want to convert to tons. The relationship is 2000 lb 1 ton 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. 1800 lb 1 ton 2000 lb 9 1800 lb 1 1 ton 2000 10 lb Divide the numbers by 2000; divide out the unit of pounds. 9 ton 10 Multiply. 9 10 ton or 0.9 ton Simplify. Therefore, 1800 lb 9 10 ton or 0.9 ton. Notice that we multiply when using unit fractions. www.mhhe.com/messersmith SECTION 7.1 Using U.S. Customary Measurements 571
messersmith_power_prealgebra_1e_ch4_7_10
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