Question: Use the model to find 2/3 × 3/4. Draw a rectangle. Partition into thirds horizontally and fourths vertically. Shade 2 of 3 rows and 3 of 4 columns. The overlapping shaded area represents the product.
Answer: 6/12 = 1/2
If you’ve ever watched a 5th grader stare at a problem like ( \frac23 \times 5 ) and whisper, “Do I multiply the bottom? Do I make a mixed number?”, you are not alone. Welcome to Lesson 16 of Module 5.4 — the lesson where fractions and whole numbers finally dance together.
Based on countless parent questions online, here are the top three pain points:
If the answer key only gives you the final numbers, you still need the method. Here is the 3-step process Eureka Math expects:
The Eureka Math Lesson 16 Homework 5.4 Answer Key is a valuable tool, but it is not the solution to learning fractions. The real solution lies in understanding that multiplying fractions is simply finding a "part of a part."
After checking your answers with the key above, take 10 extra minutes to draw tape diagrams for every problem—even the ones you got right. This visual habit will prepare your student for Lesson 17 (multiplying mixed numbers) and the mid-module assessment.
Final Answer Key Recap for Lesson 16 (typical version):
Use this guide to turn a frustrating homework session into a confident step forward in math mastery. Eureka Math Lesson 16 Homework 5.4 Answer Key
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.
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.
Collection items: Finding a total number of items (like rocks or cookies) based on fractional parts. Where to Find Full Answer Keys Question: Use the model to find 2/3 × 3/4
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 Lesson 16 Homework 5.4 Answer Key Review
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Eureka Math Grade 5 Module 4 Lesson 16 Homework focus is on solving multi-step word problems involving fraction-by-fraction multiplication tape diagrams
. Below is the answer key and step-by-step explanations for the primary problems. Answer Key Summary : Anthony's brother received a piece of board that is : There were for green. : There are Step-by-Step Solutions 1. Anthony's Board Problem Anthony had an 8-foot board. He cut off three-fourths of it and gave piece to his brother. Find the remaining length in feet If he cut off three-fourths one-fourth one-fourth of 8 feet = Calculate the brother's share His brother gets of that remaining 2 feet. of a foot. Convert to inches
Since 1 foot = 12 inches, multiply the fractional foot by 12. 2. The Voting Problem
This problem typically involves determining vote counts based on fractions of a total (e.g., 180 votes for blue). Identify the unit value
If 180 people voted for blue and that represented a specific number of units in a tape diagram, find the value of one unit. Calculate Green's total
If "green" is represented by 5 units and each unit is 12, then 3. Mrs. Onusko’s Bake Sale Mrs. Onusko made 60 cookies. She sold two-thirds of them and gave away three-fourths of the remainder. Calculate cookies sold two-thirds of 60 = 40 cookies sold. Find the remainder cookies remaining. Calculate cookies given away three-fourths of the remaining 20 = 15 cookies given to students. Find the final amount left cookies left. Final Answers Anthony's brother: Votes for green: Cookies left: For further visual walkthroughs, you can access the Lesson 16 Homework Solutions EMBARC.online EMBARC.Online tape diagram template to help visualize these fraction problems? Use this guide to turn a frustrating homework
Create a story problem for $5.82 \times 4.5$. (Note: Answers will vary. Here is a sample response that fits the criteria.)
Problem: Sarah has a volleyball team of 12 players. She says that $\frac34$ of the team is at practice today. How many players are at practice?