Lesson 32 Homework 4.5 -
| Problem | Step-by-Step | Answer | |---------|--------------|--------| | (2 \frac26 + 3 \frac56) | Fractions: (2/6+5/6=7/6=1\frac16); Wholes: (2+3+1=6) | (6 \frac16) | | (5 \frac13 - 2 \frac23) | Rename (5\frac13) as (4\frac43); (4-2=2); (4/3-2/3=2/3) | (2 \frac23) |
Lesson 32 Homework 4.5 focuses on subtracting a fraction from a mixed number. This curriculum, often used in Eureka Math (EngageNY) and Zearn Mission 5, teaches students to solve these problems without relying solely on a standard algorithm. Core Strategies for Subtraction
The homework typically requires students to use visual models and mental math strategies to break down complex subtraction into manageable parts.
The "Arrow Way" (Counting Back)This method involves jumping back from a mixed number to reach the nearest whole number first. Example: To solve , you first subtract 14one-fourth to land on . Then, you subtract the remaining 24two-fourths
Decomposing the "Total" (The Mixed Number)Instead of changing everything into an improper fraction, you can "pull out" one whole from the mixed number. Example: For , decompose Subtract the fraction from the whole: Add the result back to the remaining part: lesson 32 homework 4.5
Number Line ModelingStudents draw a number line to visualize the distance between the two numbers. This is particularly helpful for problems where the fractional part being subtracted is larger than the fractional part of the mixed number. Homework Examples & Solutions
Based on typical Eureka Math Homework sheets, here are common problems: Problem: Method: Decompose 33three-thirds . Subtract: Answer: Problem: Method: Subtract 18one-eighth . Then subtract the remaining 28two-eighths Answer: Resources for Extra Help
Video Tutorials: Step-by-step guides are available from educators like Math with Aubrey and Eureka Math Homework Time.
Answer Keys: Full solution sets for Grade 4 Module 5 can be found on EMBARC.Online or through school-specific portals like CCSD93. Eureka Math Grade 4 Module 5 Lesson 32 If you found this article because your child
If you found this article because your child is stuck on lesson 32 homework 4.5, here are three actionable strategies:
Earlier homework assignments (Lessons 1–20 range) asked students to draw rectangles and "break apart" numbers (e.g., splitting 96 into 80 and 16).
Many students leave ( \frac48 ) instead of writing ( \frac12 ).
Solution: Always check if the numerator and denominator have a common factor (e.g., 2, 3, 4).
Many students stop at 4 2/8. Remind them: “Always check if the fraction can be reduced.” 2/8 = 1/4, so 4 1/4 is the final answer. Below are answers to a standard 10-question assignment
Below are answers to a standard 10-question assignment. Use this to check your work, not to copy without understanding.
| Problem | Expression | Answer (Simplified Mixed Number) | | :--- | :--- | :--- | | 1 | ( 3 + \frac25 ) | ( 3 \frac25 ) | | 2 | ( 4 + \frac13 ) | ( 4 \frac13 ) | | 3 | ( 2 \frac14 + \frac24 ) | ( 2 \frac34 ) | | 4 | ( 1 \frac36 + \frac26 ) | ( 1 \frac56 ) | | 5 | ( 5 + \frac78 ) | ( 5 \frac78 ) | | 6 | ( 3 \frac510 + \frac710 ) | ( 4 \frac210 = 4 \frac15 ) | | 7 | ( \frac34 + \frac12 ) | ( 1 \frac14 ) | | 8 | ( 2 + \frac43 ) (improper fraction) | ( 3 \frac13 ) | | 9 | ( 4 \frac18 + \frac34 ) | ( 4 \frac78 ) | | 10 | Word problem: You have 2 whole pizzas and ( \frac35 ) of another. How much total? | ( 2 \frac35 ) pizzas |
A staple of Lesson 32 Homework is word problems where the remainder dictates the answer.
Before we jump into the homework answers, let’s set the stage.
By Lesson 32, students have already learned how to add fractions with like denominators. Now, they are challenged to add fractions like 3 + 1/4 or 2 + 3/5, but also to represent these sums on a number line.