EXAMPLE 2 Convert to the indicated unit. Round the answer to the nearest tenth, if necessary. a) Kevin makes a green cleaning solution by mixing 1.5 c of vinegar with water. Convert this number to milliliters. b) A recipe calls for 2 kg of beef stew meat. Convert this number to pounds. c) Huong wants to buy a 50 - in. plasma television. Convert this number to centimeters. Solution a) We are given 1.5 cups and want to convert to milliliters. The relationship is 1 cup 236.59 mL Multiply the given measurement of 1.5 c by the unit fraction relating cups and milliliters so that cups will divide out and leave us with milliliters. 1.5 c 236.59 mL 1 c 1.5 c 1 236.59 mL 1 c Divide out the unit of cups. 354.885 mL 1 Multiply. 354.885 mL Simplify. 354.9 mL Round to the nearest tenth. So, 1.5 c vinegar 354.9 mL. b) We are given kilograms and want to convert to pounds. The relationship is 1 lb 0.45 kg Multiply 2 kg by the unit fraction relating kilograms and pounds so that kilograms will divide out and leave us with pounds. 2 kg 1 lb 0.45 kg 2 kg 1 1 lb 0.45 kg Divide out the unit of kilograms. 2 lb 0.45 Multiply. 4.4 lb Divide. Therefore, 2 kg of beef 4.4 lb. c) We are given inches and want to convert to centimeters. The relationship is 1 inch 2.54 cm Because this is an exact conversion, we use instead of . Multiply 50 in. by the unit fraction relating inches and centimeters so that inches will divide out and leave us with centimeters. 50 in. 2.54 cm 1 in. 50 in. 1 2.54 cm 1 in. Divide out the unit of inches. 127 cm 1 Multiply. 127 cm Simplify. Therefore, 50 in. 127 cm. Write out the example as you are reading it. 474 CHAPTER 7 Measurement and Conversion www.mhhe.com/messersmith
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