118 Chapter 2 Fractions and Mixed Numbers: Multiplication and Division 3. Applications of Simplifying Fractions Simplifying Fractions in an Application Example 5 Madeleine got 28 out of 35 problems correct on an algebra exam. David got 27 out of 45 questions correct on a different algebra exam. a. What fractional part of the exam did each student answer correctly? b. Which student performed better? Solution: a. Fractional part correct for Madeleine: or equivalently 4 Fractional part correct for David: or equivalently 3 b. From the simplified form of each fraction, we see that Madeleine performed better because That is, 4 parts out of 5 is greater than 3 parts out of 5. This is also easily verified on a number line. David Madeleine 0 1 3 5 4 5 45 7 35 . 27 45 5 3 5 27 45 28 35 5 4 5 28 35 Skill Practice 13. Joanne planted 77 seeds in her garden and 55 sprouted. Geoff planted 140 seeds and 80 sprouted. a. What fractional part of the seeds sprouted for Joanne and what part sprouted for Geoff? b. For which person did a greater portion of seeds sprout? Answers 13. a. Joanne: Geoff: b. Joanne had a greater portion of seeds sprout. 47 5 7 ; Section 2.3 Practice Exercises Study Skills Exercise Sometimes, test anxiety can be greatly reduced by adequate preparation and practice. List some places in the text where you can find extra problems for practice. Vocabulary and Key Concepts 1. A fraction is said to be in ______________ terms if the numerator and denominator share no common factors other than 1. Review Exercises 2. Determine whether 405 is divisible by a. 2 b. 3 c. 5 d. 10 For Exercises 3–10, write the prime factorization for each number. 3. 145 4. 114 5. 92 6. 153 7. 85 8. 120 9. 195 10. 180
miller_basic_college_math_3e_ch1_3
To see the actual publication please follow the link above