Eureka Math Lesson 16 Homework 5.4 Answer Key

| Mistake | Why it happens | Fix from answer key | |--------|----------------|----------------------| | Multiplying numerator × numerator and denominator × denominator with a whole number | Forgetting a whole number = ( \fracwhole1 ) | Key shows ( \frac34 \times 20 = \frac3 \times 204 \times 1 ) | | Drawing tape diagram incorrectly (e.g., dividing whole into wrong number of parts) | Confusing denominator as total pieces | Key reinforces: denominator = number of equal parts in the whole set | | Giving answer as improper fraction without simplifying | Skipping last step | Every key answer is simplified or a mixed number |

By this point in Module 4, students have mastered adding and subtracting fractions. Now, they dive into multiplication of a fraction by a whole number — but not the easy kind. Lesson 16 focuses on fraction of a set using tape diagrams and two different methods:

The homework asks students to solve real-world problems like:

"Maria used ( \frac23 ) of a 15-foot ribbon. How many feet did she use?"

  • Simplifying: Always check if your answer can be simplified (e.g., $\frac410$ becomes $\frac25$).

    • The primary focus of Eureka Math Grade 5 Module 4 Lesson 16 is solving multi-step word problems using tape diagrams and fraction-by-fraction multiplication. Key Solutions and Concepts

    In this lesson, students learn to model complex scenarios where they must find a fraction of a remaining part. Eureka Math Lesson 16 Homework 5.4 Answer Key

    Problem Modeling: Use tape diagrams to visualize the "whole" and then subdivide it to show the parts mentioned in the word problem.

    The "Remaining" Concept: Many problems involve taking a fraction of what is left after an initial amount is removed. For example, if 58five-eighths of votes are for blue, and 59five-nineths

    of the remaining are for green, you first find the remainder ( 38three-eighths ) before calculating the second part. Common Problem Types:

    Election/Vote distribution: Calculating total votes based on specific counts for one category (e.g., "48 votes for red").

    Measurement Conversion: Converting mixed unit measurements (like seconds to minutes or months to years) and expressing answers as mixed numbers. | Mistake | Why it happens | Fix

    Collection items: Finding a total number of items (like rocks or cookies) based on fractional parts. Where to Find Full Answer Keys

    For a complete step-by-step breakdown of every problem in the Lesson 16 homework, you can access these specific educational resources: EngageNY Grade 5 Module 4 Lesson 16

    Eureka Math Grade 5 Module 4 Lesson 16 , the story focuses on solving multi-step word problems

    by converting mixed unit measurements and using fraction-by-fraction multiplication. The central goal is to help you "see" the math through visual tools like tape diagrams Homework Answer Highlights

    The following are common problems found in the Lesson 16 homework and their solutions: The Relay Race The homework asks students to solve real-world problems

    : Four relay team members run for 165 seconds. To find the minutes, divide 165 by 60. minutes, which simplifies to The Blueberry Pie : Horace has

    pounds of blueberries but needs 48 ounces. Since 1 pound = 16 ounces, he has 44 ounces ( : He needs 4 more ounces, which is one-fourth The Package Weight

    : Tiffany's package limit is 16 pounds. Her books weigh 9 pounds, and other items weigh three-fifths of the books' weight. Calculation pounds. Total weight: : Yes, she can send it because is less than 16. Anthony’s Board : Anthony has an 8-foot board and cuts off three-fourths of it. He gives piece to his brother. one-fourth of 8 feet = 2 feet. of 2 feet = two-thirds of a foot, or Step-by-Step Strategy Draw a Tape Diagram

    : Always start by drawing a long rectangle to represent the "whole" amount (e.g., the 8-foot board or the total weight). Convert Units First

    : If a problem has both feet and inches, or pounds and ounces, convert them to the same unit before calculating. Multiply or Divide

    : Use multiplication for finding a "fraction of" a number and division for converting smaller units to larger units (like seconds to minutes).

    For visual walkthroughs of the remaining problems, teachers and students often use resources like EMBARC.online Eureka Math Homework Time playlist on YouTube.