lesson 9 my homework page 383

• 888-309-8227
• 732-384-0146

New User Registration

Forgot Password

Glencoe Math Course 3 Volume 2 Common Core, Grade: 8 Publisher: McGraw-Hill

Glencoe math course 3 volume 2 common core, title : glencoe math course 3 volume 2 common core, publisher : mcgraw-hill, isbn : 76619044, isbn-13 : 9780076619047, use the table below to find videos, mobile apps, worksheets and lessons that supplement glencoe math course 3 volume 2 common core., textbook resources.

• Call us toll-free
• FAQs – Frequently Asked Questions
• Contact Lumos Learning – Proven Study Programs by Expert Teachers

Follow us: Lumos Learning -->

• 2024 © Lumos Learning
• Privacy Policy - Terms of Service - Disclaimers

PARCC® is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc... Read More

PARCC® is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc., the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc., nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc., or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff... Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

ACT® Aspire™ is a registered trademark of ACT Aspire LLC., which is not affiliated to Lumos Learning. ACT Aspire LLC, was not... Read More

ACT® Aspire™ is a registered trademark of ACT Aspire LLC., which is not affiliated to Lumos Learning. ACT Aspire LLC,was not involved in the production of, and does not endorse these products or this site.

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the... Read More

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the production of, and does not endorse these products or this site.

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the... Read More

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the production of, and does not endorse these products or this site.

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved... Read More

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved in the production of, and does not endorse these products or this site.

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the prod... Read More

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the production of, and does not endorse these products or this site.

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved... Read More

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved in the production of, and does not endorse these products or this site.

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved... Read More

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved in the production of, and does not endorse these products or this site.

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved... Read More

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved in the production of, and does not endorse these products or this site.

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved... Read More

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

McGraw Hill My Math Grade 4 Chapter 9 Lesson 8 Answer Key Model Fractions and Multiplication

All the solutions provided in  McGraw Hill My Math Grade 4 Answer Key PDF Chapter 9 Lesson 8 Model Fractions and Multiplication will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 9 Lesson 8 Model Fractions and Multiplication

You have learned to write a fraction as a sum of unit fractions. For example, \(\frac{4}{5}\) = \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\). You can also write a fraction as a multiple of a unit fraction.

2. Use repeated addition: You know that \(\frac{4}{5}\) = \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) => 4 times \(\frac{1}{5}\) is added to equal \(\frac{4}{5}\).

You know that 6 is a multiple of 2. Any multiples of 6, such as 12, 18, and 24, are also multiples of 2. The same is true for fractions. A multiple of a fraction can also be written as a multiple of a unit fraction.

2. Use repeated addition: 2 × \(\frac{4}{5}\) = \(\frac{4}{5}\) + \(\frac{4}{5}\). => \(\frac{4}{5}\) + \(\frac{4}{5}\) = \(\frac{8}{5}\) So, \(\frac{8}{5}\) is a multiple of \(\frac{4}{5}\). It is also a multiple of \(\frac{1}{5}\). \(\frac{8}{5}\) = 8 × \(\frac{1}{5}\)

Talk About It Question 1. Mathematical PRACTICE Identify Structure Write an equation showing how \(\frac{3}{8}\) is a multiple of \(\frac{1}{8}\). Answer: Equation showing \(\frac{3}{8}\) is a multiple of \(\frac{1}{8}\) is \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\)

Explanation: \(\frac{3}{8}\) is a multiple of \(\frac{1}{8}\): => \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) => (1 + 1 + 1) ÷ 8 => \(\frac{3}{8}\)

Question 2. Write equations showing how \(\frac{6}{8}\) is a multiple of both \(\frac{3}{8}\) and \(\frac{1}{8}\). Answer: Equations showing \(\frac{6}{8}\) is a multiple of both \(\frac{3}{8}\) and \(\frac{1}{8}\) is 2 × \(\frac{3}{8}\) = 6 × \(\frac{1}{8}\)

Explanation: \(\frac{6}{8}\) is a multiple of both \(\frac{3}{8}\) and \(\frac{1}{8}\): 1. \(\frac{6}{8}\) is a multiple of both \(\frac{3}{8}\) => \(\frac{3}{8}\) + \(\frac{3}{8}\) => (3 + 3) ÷ 8 => \(\frac{6}{8}\) 2. \(\frac{6}{8}\) is a multiple of  \(\frac{1}{8}\): => \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\)+ \(\frac{1}{8}\)+\(\frac{1}{8}\) + \(\frac{1}{8}\) => (1 + 1 + 1 + 1 + 1 + 1) ÷ 8 => \(\frac{6}{8}\)

Practice It Algebra Use an equation to write each fraction or product as a multiple of a unit fraction. Question 3. \(\frac{3}{4}\) ________________ Answer: Equation showing \(\frac{3}{4}\) as a multiple of a \(\frac{1}{4}\) unit fraction is \(\frac{1}{4}\) +  \(\frac{1}{4}\) +  \(\frac{1}{4}\)

Explanation: \(\frac{3}{4}\) as a multiple of a unit fraction: => \(\frac{1}{4}\) + \(\frac{1}{4}\)+ \(\frac{1}{4}\) => (1 + 1 +1) ÷ 4 => \(\frac{3}{4}\)

Question 4. \(\frac{7}{8}\) ________________ Answer: Equation showing \(\frac{7}{8}\) as a multiple of a \(\frac{1}{8}\) unit fraction is 7 × \(\frac{1}{8}\)

Explanation: \(\frac{7}{8}\) as a multiple of a unit fraction: => \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\)+ \(\frac{1}{8}\)+ \(\frac{1}{8}\)+ \(\frac{1}{8}\)+ \(\frac{1}{8}\) => (1 + 1 + 1 + 1 + 1 + 1 + 1) ÷ 8 => \(\frac{7}{8}\)

Question 5. \(\frac{5}{12}\) ________________ Answer: Equation showing \(\frac{5}{12}\) as a multiple of a \(\frac{1}{12}\) unit fraction is 5 × \(\frac{1}{12}\)

Explanation: \(\frac{5}{12}\) as a multiple of a unit fraction: => \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\)+ \(\frac{1}{12}\)+ \(\frac{1}{12}\) => (1 + 1 + 1 + 1 + 1) ÷ 12 => \(\frac{5}{12}\)

Question 6. \(\frac{5}{6}\) ________________ Answer: Equation showing \(\frac{5}{6}\) as a multiple of a \(\frac{1}{6}\) unit fraction is 5 × \(\frac{1}{6}\)

Explanation: Equation showing \(\frac{5}{6}\) as a multiple of a unit fraction: => \(\frac{1}{6}\) + \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+\(\frac{1}{6}\) => (1 + 1 + 1 + 1 + 1) ÷ 6 => \(\frac{5}{6}\)

Question 7. 2 × \(\frac{2}{3}\) ________________ Answer: Equation showing 2 × \(\frac{2}{3}\) as a multiple of a \(\frac{1}{3}\) and \(\frac{2}{3}\) unit fraction is 4 × \(\frac{1}{3}\) = 2 × \(\frac{2}{3}\)

Explanation: 2 × \(\frac{2}{3}\) as a multiple of a unit fraction: => \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) => 4 × \(\frac{1}{3}\) or 2 × \(\frac{2}{3}\)

Question 8. 2 × \(\frac{5}{6}\) ________________ Answer: Equation showing 2 × \(\frac{5}{6}\) as a multiple of a \(\frac{5}{6}\) and \(\frac{1}{6}\) is \(\frac{5}{6}\) + \(\frac{5}{6}\) = 10 × \(\frac{1}{6}\)

Explanation: 2 × \(\frac{5}{6}\) as a multiple of a unit fraction: => \(\frac{5}{6}\)+ \(\frac{5}{6}\) => \(\frac{10}{6}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\)+\(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\) + \(\frac{1}{6}\) => 10 × \(\frac{1}{6}\) => 10\(\frac{1}{6}\)

Question 9. 4 × \(\frac{3}{4}\) ________________ Answer: Equation showing 4 × \(\frac{3}{4}\) as a multiple of a \(\frac{3}{4}\) unit fraction is \(\frac{3}{4}\) + \(\frac{3}{4}\)+ \(\frac{3}{4}\)+\(\frac{3}{4}\)

Explanation: 4 × \(\frac{3}{4}\) as a multiple of a unit fraction: =>\(\frac{3}{4}\) + \(\frac{3}{4}\)+ \(\frac{3}{4}\)+\(\frac{3}{4}\) => (3 + 3 + 3 + 3) ÷ 4 => 12 ÷ 4 or \(\frac{12}{4}\)

Question 10. 3 × \(\frac{7}{8}\) ________________ Answer: Equation showing 3 × \(\frac{7}{8}\) as a multiple of a \(\frac{7}{8}\) unit fraction is \(\frac{7}{8}\) + \(\frac{7}{8}\) + \(\frac{7}{8}\)

Explanation: 3 × \(\frac{7}{8}\) as a multiple of a unit fraction: => \(\frac{7}{8}\) + \(\frac{7}{8}\) + \(\frac{7}{8}\) => (7 + 7 + 7) ÷ 8 => 21 ÷ 8 or \(\frac{21}{8}\)

Question 11. 5 × \(\frac{3}{5}\) ________________ Answer: Equation showing 5 × \(\frac{3}{5}\) as a multiple of a \(\frac{3}{5}\) unit fraction is \(\frac{3}{5}\) + \(\frac{3}{5}\) + \(\frac{3}{5}\)+ \(\frac{3}{5}\)+ \(\frac{3}{5}\)

Explanation: 5 × \(\frac{3}{5}\) as a multiple of a unit fraction: => \(\frac{3}{5}\) + \(\frac{3}{5}\) + \(\frac{3}{5}\)+ \(\frac{3}{5}\)+ \(\frac{3}{5}\) => (3 + 3 + 3 + 3 + 3) ÷ 5 =\(\frac{15}{5}\)

Question 12. 6 × \(\frac{7}{12}\) ________________ Answer: Equation showing 6 × \(\frac{7}{12}\) as a multiple of a \(\frac{7}{12}\) unit fraction is \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\) +\(\frac{7}{12}\) + \(\frac{7}{12}\)

Explanation: 6 × \(\frac{7}{12}\) as a multiple of a unit fraction: => \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\) +\(\frac{7}{12}\) + \(\frac{7}{12}\) => (7 + 7 + 7 + 7 + 7 + 7) ÷ 12 => \(\frac{42}{12}\)

Explanation: Number of pound of blackberries Gracie and Jackson each bought = \(\frac{2}{3}\) . 2 × \(\frac{2}{3}\) as a multiple of a unit fraction = ?? => \(\frac{2}{3}\) + \(\frac{2}{3}\) => (2 + 2) ÷ 3 => \(\frac{4}{3}\) => \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\)  +\(\frac{1}{3}\) => 4 × \(\frac{1}{3}\)

Question 15. Mathematical PRACTICE Use Algebra Find the unknown in the equation m × \(\frac{1}{6}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\). Answer: Unknown in the equation m × \(\frac{1}{6}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) is 5.

Explanation: Equation given: m × \(\frac{1}{6}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\). => m = ?? => m × \(\frac{1}{6}\) = \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) => m × \(\frac{1}{6}\) = (1 + 1 + 1 + 1 + 1) ÷ 6 => m × \(\frac{1}{6}\) = 5 × \(\frac{1}{6}\) => m = {5 × \(\frac{1}{6}\)} ÷ 5 × \(\frac{1}{6}\) => m = 5.

Write About It Question 16. How can any fraction \(\frac{a}{b}\) be written as a multiple of a unit fraction? Answer: Any fraction \(\frac{a}{b}\) be written as a multiple of a unit fraction by using the number of times the unit fraction holds to express the given fraction.

McGraw Hill My Math Grade 4 Chapter 9 Lesson 8 My Homework Answer Key

Explanation: Equation showing to the above fraction tiles: \(\frac{1}{6}\) + \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\) => (1 + 1 + 1 + 1 + 1) ÷ 6 => 5 × \(\frac{1}{6}\)

Explanation: Equation showing to the above fraction tiles: \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) => (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 ) ÷ 10 => 8 × \(\frac{1}{10}\)

Algebra Use an equation to write each fraction or product as a multiple of a unit fraction. Question 3. \(\frac{3}{8}\) ___________________ Answer: Equation showing \(\frac{3}{8}\) as a multiple of a \(\frac{1}{8}\) unit fraction is 3 × \(\frac{1}{8}\)

Explanation: \(\frac{3}{8}\) = \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) = 3 × \(\frac{1}{8}\)

Question 4. \(\frac{7}{12}\) ___________________ Answer: Equation showing \(\frac{7}{12}\) as a multiple of a \(\frac{1}{12}\) unit fraction is 7 × \(\frac{1}{12}\)

Explanation: \(\frac{7}{12}\) = \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\) + \(\frac{1}{12}\) = (1 + 1 + 1 + 1 + 1 + 1 + 1) ÷ 12 = 7 × \(\frac{1}{12}\)

Question 5. \(\frac{6}{10}\) ___________________ Answer: Equation showing \(\frac{6}{10}\) as a multiple of a \(\frac{1}{10}\) unit fraction is 6 × \(\frac{1}{10}\)

Explanation: \(\frac{6}{10}\) = \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) + \(\frac{1}{10}\) = (1 + 1 + 1 + 1 + 1 + 1) ÷ 10 = 6 × \(\frac{1}{10}\)

Question 6. \(\frac{4}{5}\) ___________________ Answer: Equation showing \(\frac{4}{5}\) as a multiple of a \(\frac{1}{5}\) unit fraction is 4 × \(\frac{1}{5}\)

Explanation: \(\frac{4}{5}\) = \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) = (1 + 1 + 1 + 1) ÷ 5 = 4 × \(\frac{1}{5}\)

Question 7. 3 × \(\frac{4}{5}\) ___________________ Answer: Equation showing 3 × \(\frac{4}{5}\) as a multiple of a \(\frac{1}{5}\) unit fraction is 12 × \(\frac{1}{5}\)

Explanation: 3 × \(\frac{4}{5}\) = \(\frac{12}{5}\) = \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\)  + \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) = 12 × \(\frac{1}{5}\)

Question 8. 5 × \(\frac{2}{5}\) ___________________ Answer: Equation showing 5 × \(\frac{2}{5}\) as a multiple of a \(\frac{1}{5}\) unit fraction is 10 × \(\frac{1}{5}\)

Explanation: 5 × \(\frac{2}{5}\) = \(\frac{10}{5}\) = \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) + \(\frac{1}{5}\)  + \(\frac{1}{5}\) = 10 × \(\frac{1}{5}\)

Question 9. 8 × \(\frac{6}{10}\) ___________________ Answer: Equation showing 8 × \(\frac{6}{10}\) as a multiple of a \(\frac{8}{10}\) unit fraction is 6 × \(\frac{8}{10}\)

Explanation: 8 × \(\frac{6}{10}\) = \(\frac{48}{10}\) = \(\frac{8}{10}\) + \(\frac{8}{10}\) + \(\frac{8}{10}\)+ \(\frac{8}{10}\) + \(\frac{8}{10}\)+ \(\frac{8}{10}\) = 6 × \(\frac{8}{10}\)

Question 10. 7 × \(\frac{8}{12}\) ___________________ Answer: Equation showing 7 × \(\frac{8}{12}\) as a multiple of a \(\frac{7}{12}\) unit fraction is 8 × \(\frac{7}{12}\)

Explanation: 7 × \(\frac{8}{12}\) = \(\frac{56}{12}\) = \(\frac{7}{12}\) + \(\frac{7}{12}\)  + \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\) + \(\frac{7}{12}\)  + \(\frac{7}{12}\) + \(\frac{7}{12}\) = 8 × \(\frac{7}{12}\)

Problem Solving Question 11. Mathematical PRACTICE Model Math Marcia has one cup of tea each day for 7 days. She puts \(\frac{2}{3}\) tablespoons of honey in each cup of tea. Write an equation that represents 7 × \(\frac{2}{3}\) as a multiple of a unit fraction. Answer: Equation that represents 7 × \(\frac{2}{3}\) as a multiple of a \(\frac{1}{3}\) unit fraction is 14 × \(\frac{1}{3}\)

Explanation: Number of days Marcia has one cup of tea = 7. Number of cups of tea he has each day = 1. Number of tablespoons of honey in each cup of tea she puts = \(\frac{2}{3}\). Total number of tea with tablespoons of honey he has = Number of days Marcia has one cup of tea × Number of cups of tea he has each day × Number of tablespoons of honey in each cup of tea she puts = 7 × 1 × \(\frac{2}{3}\) = \(\frac{14}{3}\) = \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\) + \(\frac{1}{3}\)+ \(\frac{1}{3}\)+ \(\frac{1}{3}\)+ \(\frac{1}{3}\)+ \(\frac{1}{3}\)+\(\frac{1}{3}\)+ \(\frac{1}{3}\)+\(\frac{1}{3}\)+\(\frac{1}{3}\) + \(\frac{1}{3}\) = 14 × \(\frac{1}{3}\)

Question 12. Sam buys 4 tropical fish. Each fish is \(\frac{5}{8}\) of an inch long. Write an equation that represents 4 × \(\frac{5}{8}\) as a multiple of a unit fraction. Answer: Equation that represents 4 × \(\frac{5}{8}\) as a multiple of a \(\frac{5}{8}\) unit fraction is \(\frac{5}{8}\) + \(\frac{5}{8}\)+ \(\frac{5}{8}\)+ \(\frac{5}{8}\)

Explanation: Number of tropical fish Sam buys = 4. Number of inches each fish = \(\frac{5}{8}\) Total number of inches all fishes = Number of tropical fish Sam buys × Number of inches each fish = 4 × \(\frac{5}{8}\) => \(\frac{20}{8}\)

Leave a Comment Cancel Reply

You must be logged in to post a comment.

Home > CC3 > Chapter 9 > Lesson 9.1.3

Lesson 9.1.1, lesson 9.1.2, lesson 9.1.3, lesson 9.1.4, lesson 9.2.1, lesson 9.2.2, lesson 9.2.3, lesson 9.2.4, lesson 9.2.5, lesson 9.2.6, lesson 9.2.7.

© 2022 CPM Educational Program. All rights reserved.