Eureka Math Lesson 16 Homework 5.4 Answer Key [better]

Here’s the typical content for Grade 5, Module 4, Lesson 16 (which focuses on solving word problems involving fraction by fraction multiplication), along with the correct answers and explanations.

Problem 6 (Challenge)

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

3. Multiply Numerators and Denominators

Only after visualizing, do the arithmetic: Eureka Math Lesson 16 Homework 5.4 Answer Key

Numerator: Product of the top numbers.
Denominator: Product of the bottom numbers.
Simplify: Divide numerator and denominator by common factors.

What is Covered in Eureka Math Grade 5 Module 4 Lesson 16?

Before diving into the answers, let’s clarify the objective. Lesson 16 teaches students to solve word problems involving fraction-by-fraction multiplication.

By this point, students have moved beyond multiplying fractions by whole numbers. Now, they must tackle problems like: "Tom has 2/3 of a pound of cheese. He uses 1/4 of that cheese for a sandwich. How much cheese did he use?"

The key concept is the phrase "of" — in math, "of" usually means multiplication. The lesson also reinforces drawing tape diagrams (strip models) to visualize the problem. Here’s the typical content for Grade 5, Module

Mastering Fractions: A Complete Guide to Eureka Math Lesson 16 Homework 5.4 Answer Key

For fifth-grade students and their parents, Eureka Math (also known as EngageNY) can feel like climbing a mountain. Module 4, which focuses on multiplication and division of fractions, is often the steepest cliff. Among its many critical lessons, Lesson 16 stands out as a major turning point.

If you have been searching for the "Eureka Math Lesson 16 Homework 5.4 Answer Key" , you are likely looking for more than just correct answers. You want to understand why the answers are correct and how to help your child avoid common mistakes.

This article provides the complete answer key for Lesson 16 Homework (Grade 5, Module 4), step-by-step explanations, and proven strategies to master the underlying concepts. Problem 6 (Challenge) Question: Use the model to

Question 3: Word Problems (Inverse / Unknown Whole)

Problem: A gopher has dug a hole. The hole is currently $\frac35$ feet deep, which is $\frac12$ of his goal. How deep does the gopher want to dig his hole in total?

Analysis: We know the part ($\frac35$) and we know that part represents $\frac12$ of the goal. We are looking for the whole.
Step 1 (Tape Diagram): Draw a tape diagram for the "Goal" (the whole).
- Since the part is $\frac12$ of the whole, split the tape into 2 equal units.
Step 2 (Label):
- One unit represents $\frac35$ ft (the current depth).
- We want to find the total (2 units).
Step 3 (Calculate):
- 1 unit = $\frac35$
- 2 units (Whole) = $\frac35 \times 2 = \frac65$ or $1 \frac15$.
Alternative Thinking: If $\frac12$ of the goal is $\frac35$, then the whole goal is double that.
- $\frac35 \div \frac12$ (or simply $\frac35 \times 2$).
Answer: $\frac65$ feet (or $1 \frac15$ feet)

A Challenge for Parents & Tutors

Before peeking at the answer key, try this:

Ask your child to draw the tape diagram first.
Then write the multiplication sentence.
Finally, compare with the key — but check the diagram first!

You’ll often find they got the right number but lost points on the visual model. That’s the hidden gem of Eureka: the answer key rewards the journey, not just the destination.

Overview

Grade: 5 (assumed)
Module: Topic/Eureka Math sequence: Lesson 16, Homework 5.4
Focus: (assumed) fractions/decimals/operations—provide specific answer key and brief notes.