4-6 Multiply Fractions Multiply. Write in simplest form. 5. 1. SOLUTION: SOLUTION: 2. SOLUTION: 6. SOLUTION: 3. SOLUTION: 7. SOLUTION: 4. SOLUTION: 8. SOLUTION: 5. SOLUTION: eSolutions Manual - Powered by Cognero Page 1 9. SOLUTION: 4-6 Multiply Fractions feet. So, the width is 11. One evening, 9. of the students in Rick’s class watched television. Of those students, SOLUTION: watched a reality show. Of the students that watched the show, of them recorded the show. What fraction of the students in Rick’s class watched and recorded a reality TV show? SOLUTION: Let s represent the fraction of students in Rick’s class who watched and recorded a reality TV show. 10. The width of a vegetable garden is times its length. If the length of the garden is feet, what is the width in simplest form? SOLUTION: Let w represent the width of the garden. So, of Rick’s class watched and recorded a reality TV show. Write the numerical expression. Then evaluate the expression. 12. one half of negative five eighths So, the width is 11. One evening, SOLUTION: One half of five eighths can be represented as . feet. of the students in Rick’s class watched television. Of those students, watched a reality show. Of the students that watched the show, of them recorded the show. What fraction of the students in Rick’s class watched and recorded a reality TV show? SOLUTION: Let s represent the fraction of students in Rick’s class who watched and recorded a reality TV show. eSolutions Manual - Powered by Cognero 13. one third of eleven sixteenths SOLUTION: One third of eleven sixteenths can be represented as . Page 2 31. Of the dolls in Marjorie’s doll collection, have red hair. Of these, have green eye, have blue eyes, 4-6 Multiply Fractions of Marjorie’s doll collection has both red hair and blue eyes, so the statement is true. c. Let d represent the dolls that have both red hair and brown eyes. 31. Of the dolls in Marjorie’s doll collection, have red hair. Of these, have green eye, have blue eyes, and have brown eyes. Determine if each statement is true or false. a. of Marjorie's doll collection has red hair and green eyes. b. of Marjorie’s doll collection has both red hair and blue eyes, so the statement is false. 32. The table shows the number of teaspoons of vanilla needed to make different batches of cookies. of Marjorie's doll collection has red hair and blue eyes. c. of Marjorie's doll collection has red hair and brown eyes. SOLUTION: Multiply the corresponding fractions, simplify as necessary, and then determine if the statement is true. a. Let d represent the dolls that have both red hair and green eyes. Select one box from each row to describe how to find the number of teaspoons of vanilla needed to make n batches of cookies. How many teaspoons of vanilla are needed to make batches of cookies? SOLUTION: Consider the relationship between 1 and of Marjorie’s doll collection has both red hair and green eyes, so the statement is true. b. Let d represent the dolls that have both red hair and blue eyes. . This relationship must be the same between 2 and and between each batch and amount of vanilla needed for each batch. Addition: Adding 4 or to the batches would make the teaspoons of vanilla larger than the batches, but the teaspoons of vanilla are smaller so it cannot be addition Subtraction: of Marjorie’s doll collection has both red hair and blue eyes, so the statement is true. c. Let d represent the dolls that have both red hair and brown eyes. Since neither result in , it cannot be subtraction. Multiplication: This works, but check the next set to make sure. eSolutions Manual - Powered by Cognero of Marjorie’s doll collection has both red hair and blue eyes, so the statement is false. Since multiplying by Page 3 works, the answer should be Multiplication: 4-6 Multiply Fractions This works, but check the next set to make sure. Since multiplying by to multiply n by works, the answer should be . To determine how many teaspoons of vanilla are needed to make by batches of cookies, multiply . So, it will take teaspoons. eSolutions Manual - Powered by Cognero Page 4

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