ANSWERS TO YOU TRY EXERCISES 1) a) 8 35 b) 9 17 40 c) 3 2 5 d) 1 210 e) 5 f) 103 56 or 1 47 56 f) To fi nd the difference 5 4 7 , we fi rst need a common denominator. Write 5 as an improper fraction with a denominator of 1: 5 5 1 . Now, subtract. 5 4 7 5 1 4 7 35 7 4 7 31 7 or 4 3 7 Rewrite with a denominator of 7. Write 5 as a fraction. We need a common denominator only when we are adding or subtracting fractions and mixed numbers. When we are multiplying or dividing, a common denominator is not needed. YOU TRY 1 Perform the indicated operations. a) 4 15 7 6 b) 2 1 8 7 3 10 c) 9 5 3 5 d) 1 24 18 25 10 63 e) 16 3 1 5 f) 4 7 9 14 5 8 Putting It All Together Exercises Do the exercises, and check your work. Objective 1: Review Operations with Fractions and Mixed Numbers Determine whether each statement is true or false. If it is false, explain why. 1) To multiply two fractions, we need a common denominator. 2) All answers should be written in lowest terms. 3) Before multiplying or dividing mixed numbers, we must change them to improper fractions. 4) The mixed number 3 11 6 is in simplest form. 5) 1 2 is greater than 3 2 . 6) 3 7 is less than 1. Perform the indicated operations. 7) 7 16 10 21 8) 14 15 8 15 9) 3 1 4 6 2 7 10) 20 23 45 77 11) 11 18 1 6 12) 7 3 10 8 4 15 13) 9 14 12 35 14) 5 1 4 2 3 14 15) 9 11 12 8 4 9 16) 1 17 20 4 4 9 www.mhhe.com/messersmith Putting It All Together 269
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