Name Number and Operations — Fractions 4.NF.4, 4.NF.4a, 4.NF.4b, 4.NF.4c Lesson 8 Hands On: Model Fractions and Multiplication eHelp Homework Helper Need help? 3 Write _ as a multiple of a unit fraction. connectED.mcgraw-hill.com 6 3 Model _ using fraction tiles. 6 1 6 1 6 1 6 3 1 _ is a multiple of _ because 6 6 3 1 the product of 3 and _ is _ . 6 6 1 There are 3 of the _ -tiles. 6 3 1 So, _ = 3 × _ . 6 6 2 Use an equation to write 4 × __ 3 as a multiple of a unit fraction. 2 2 2 2 2 Use repeated addition to write 4 × _ as _ + _ + _ + _. 3 3 3 3 3 2 2 2 8 2 _ +_+_+_=_ 3 3 3 3 3 2 1 8 So, _ is a multiple of _. It is also a multiple of _. 3 3 3 8 1 _ =8×_ 3 3 1 2 So, 4 × _ = 8 × _. 3 3 Copyright © The McGraw-Hill Companies, Inc. Practice Algebra Use an equation to write each fraction as a multiple of a unit fraction. 1. 1 6 5 _ 6 1 6 1 6 1 6 1 6 2. 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 8 _ 10 Lesson 8 My Homework611 Algebra Use an equation to write each fraction or product as a multiple of a unit fraction. 3 3. _ 8 7 4. _ 12 6 5. _ 10 4 6. _ 5 4 7. 3 × _ 5 2 8. 5 × _ 5 6 9. 8 × _ 10 8 10. 7 × _ 12 Problem Solving 11. 4 Model Math Marcia has one cup of tea each day 5 12. Sam buys 4 tropical fish. Each fish is _ of an inch long. Write an 8 5 equation that represents 4 × _ as a multiple of a unit fraction. 8 612Chapter 9 Operations with Fractions Copyright © The McGraw-Hill Companies, Inc. 2 for 7 days. She puts _ tablespoons of honey in each cup of tea. 3 2 Write an equation that represents 7 × _ as a multiple of a unit fraction. 3

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