d) In part c), we determined that 5 8 of the total number of students do not speak English as the primary language at home. The of indicates multiplication. To determine the number of students who speak a language other than English at home, fi nd 5 8 of 576 students or 5 8 576. 5 8 576 5 8 576 1 5 81 72 576 1 360 1 360 Write 576 with a denominator of 1. 360 of the 576 students speak a language other than English at home. YOU TRY 9 Use the pie chart in Example 9 to answer these questions. a) What is the fraction of students who speak English, Urdu, or “other” language at home? b) How many students speak English, Urdu, or “other” language at home? c) For what fraction of the students is Spanish not the primary language spoken at home? d) How many students speak a language other than Spanish at home? ANSWERS TO YOU TRY EXERCISES 1) 7 12 2) a) 7 9 b) 85 72 or 1 13 72 c) 49 60 3 a) 81 88 b) 7 6 or 1 1 6 4 a) 1 6 b) 23 42 5) 43 132 6) 97 252 7 a) 14 3 or 4 2 3 b) 3 8 8) The amount of window trim remaining is 1 6 yd. 9) a) 37 72 of the students speak English, Urdu, or “other” language at home. b) 296 students speak English, Urdu, or “other” language at home. c) Spanish is not the primary language spoken at home for 3 4 of the students. d) 432 students speak a language other than Spanish at home. 4.4 Exercises Do the exercises, and check your work. Objective 1: Add Unlike Fractions For Exercises 1–8, use the number lines below to identify the least common denominator, and add the fractions on the appropriate number line. 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 12 2 12 3 12 4 12 5 12 6 12 7 12 8 12 9 12 10 12 11 12 8 2 8 3 8 4 8 5 8 6 8 7 8 6 2 6 3 6 4 6 5 6 4 2 4 3 4 3 2 3 2 1) 1 2 and 1 3 2) 1 3 and 1 4 3) 1 2 and 1 6 4) 1 4 1 8 5) 5 12 and 1 4 6) 3 4 and 1 12 7) 1 4 1 6 1 12 8) 1 2 1 3 1 12 9) Diane adds these fractions this way: 1 5 3 4 4 9 . What did she do wrong? What is the right way to add these fractions? www.mhhe.com/messersmith SECTION 4.4 Adding and Subtracting Unlike Fractions 253
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