Eureka Math Lesson 16 Homework 5.4 Answer Key 【Web】

A common mistake is using the answer key to copy answers. Here is a parent-approved method for using the key to actually teach:

Read the problem carefully. Is the problem asking for a fraction of a fraction? In Lesson 16, almost always yes.

The Eureka Math Lesson 16 answer key isn’t a cheat sheet — it’s a standards map. It shows exactly how deeply a 5th grader must understand “fraction of a set.” Use it to check diagrams, not just digits. And remember: every fraction multiplication is just a division of a whole into equal parts, then counting some of them. That’s the magic.

Happy diagramming! ✏️📊

In Eureka Math Grade 5 Module 4 Lesson 16 , the goal is to solve multi-step word problems using tape diagrams and fraction-by-fraction multiplication. Below are the solutions and methods for the typical problems found in this lesson's homework. Problem 1: Anthony's Board Question: Anthony had an 8-foot board. He cut off 34three-fourths of it to build a shelf. He then gave 13one-third

of the remaining piece to his brother. How many inches long was the piece he gave to his brother? Answer: 8 inches Find the remaining length in feetIf Anthony cut off 34three-fourths of the 8-foot board, 14one-fourth of the board remains.

14×8 feet=2 feet remainingone-fourth cross 8 feet equals 2 feet remaining Calculate the brother's share in feetThe brother received 13one-third of that remaining 2-foot piece.

13×2 feet=23 footone-third cross 2 feet equals two-thirds foot

Convert the final length to inchesSince 1 foot = 12 inches, multiply the fraction of the foot by 12.

23×12 inches=243 inches=8 inchestwo-thirds cross 12 inches equals 24 over 3 end-fraction inches equals 8 inches Problem 2: General Fraction Multiplication

Objective: Multiply fractions and simplify where possible. These problems often involve "of" as the operation (e.g., 12one-half 34three-fourths Example A: Eureka Math Lesson 16 Homework 5.4 Answer Key

5×56×8=2548the fraction with numerator 5 cross 5 and denominator 6 cross 8 end-fraction equals 25 over 48 end-fraction Example B:

Simplify first by dividing 3 and 12 by their greatest common factor (3):

14×54=516one-fourth cross five-fourths equals 5 over 16 end-fraction Key Strategies for Lesson 16

Read-Draw-Write (RDW): Always read the problem carefully, draw a tape diagram to represent the "whole" and its "parts," and then write your equation and statement.

Identify the "New Whole": In multi-step problems, the second fraction often refers to a "remaining" amount rather than the original total.

Unit Conversions: Be prepared to convert your final fractional answer into a smaller unit (like feet to inches or hours to minutes) to finish the problem. Answer Summary

The primary answer for the core word problem in this lesson (Anthony’s board) is 8 inches. For other calculation-based problems, ensure you multiply the numerators and denominators across and simplify before or after multiplying.

For more detailed walkthroughs, you can check the G5-M4 Homework Solutions on Embarc Online or follow video guides from creators like Mrs. Setness and Math with Aubrey.

The primary objective of Eureka Math Grade 5 Module 4 Lesson 16

is to solve real-world word problems using tape diagrams and fraction-by-fraction multiplication. Homework Solutions and Explanations 1. Analyze the Anthony's Board Problem Anthony had an 8-foot board. He cut off three-fourths of the board. He gave A common mistake is using the answer key to copy answers

of the remaining piece to his brother. Find the length of the piece given to his brother in inches. Step 1: Find the length of the remaining piece. If Anthony cut off three-fourths one-fourth of the board remains. one-fourth cross 8 feet equals 2 feet Step 2: Find the fraction given to the brother. The brother received of that remaining 2-foot piece. one-third cross 2 feet equals two-thirds foot Step 3: Convert the final answer to inches. Since 1 foot = 12 inches:

two-thirds cross 12 equals 24 over 3 end-fraction equals 8 inches 2. Multi-Step Tape Diagram Application

In this lesson, problems typically follow a "fraction of a fraction" structure. For example, if a problem asks for " three-fourths of a total": Draw a tape diagram representing the whole.

Partition it into the first fraction's units (e.g., fourths).

Subdivide those units to find the second fraction (e.g., halves of the fourths). Key Takeaways for Lesson 16 Tape Diagrams

: Always start by modeling the "whole" and then "cutting" it according to the first fraction mentioned in the problem. "Of" means Multiply : When you see "

the remainder," it signifies a multiplication operation between those two values. Unit Conversions

: Many problems in this lesson require a final conversion from feet to inches or pounds to ounces to provide a complete answer. Explain with an Image Visualize the board problem Create visual

The length of the board piece Anthony gave to his brother is

This lesson typically focuses on problem solving with tape diagrams and fraction multiplication/division. The core skill is using a tape diagram to find the whole when given a part, or to visualize the relationship between fractions. (If your worksheet has different numbered problems or

Here is the answer key and step-by-step guide for the standard homework set.

(If your worksheet has different numbered problems or wording, these are placeholders—see notes below.)

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

1. A recipe calls for ( \frac23 ) cup of sugar. You want to make ( \frac14 ) of the recipe. How much sugar do you need?

2. Emma ran ( \frac34 ) mile. She walked ( \frac12 ) of that distance. How far did she walk?

3. A rectangle has length ( \frac56 ) m and width ( \frac35 ) m. What is its area?

4. There is ( \frac78 ) of a pizza left. If ( \frac23 ) of the leftovers are eaten, what fraction of the whole pizza is eaten?

5. John has ( \frac56 ) hour of free time. He spends ( \frac34 ) of it playing outside. How many hours does he play outside?