Lesson 32 Homework 4.5 -

Review: Lesson 32 Homework 4.5

Topic: Add and subtract mixed numbers (like fractional units) – finding common denominators when needed.

Core Skill: Rewrite fractions so they have the same denominator, then add or subtract the mixed numbers.

Lesson 32 Homework 4.5

Section A: Fractions and Decimals Conversion

1. Convert the following fractions into decimals:

   • 3/4
   • 1/2
   • 3/8

2. Convert the following decimals into fractions:

   • 0.75
   • 0.5
   • 0.375

Section B: Percent, Fractions, and Decimals Relationship

3. Express the following fractions as percents: lesson 32 homework 4.5

   • 1/5
   • 3/10
   • 2/5

4. Express the following percents as decimals and then as fractions (simplify if possible):

   • 25%
   • 10%
   • 50%

Section C: Solving Problems

5. A bookshelf has 5 shelves, and 3/5 of them are currently filled with books. How many shelves are filled?

6. A pizza was cut into 8 slices. If 2/4 of the pizza was eaten, how many slices were eaten?

Section D: Word Problems

7. If a shirt is on sale for 25% off its original price of $40, how much will you pay for the shirt? Review: Lesson 32 Homework 4

8. In a class of 40 students, 3/5 of them are girls. How many boys are in the class?

Example Problem (Step-by-Step)

Problem: ( 3\frac12 + 2\frac25 )

Step 1: Common denominator for 2 and 5 → 10.

• ( \frac12 = \frac510 )
• ( \frac25 = \frac410 )

Step 2: Add fractions: ( \frac510 + \frac410 = \frac910 )

Step 3: Add whole numbers: ( 3 + 2 = 5 )

Step 4: Combine: ( 5\frac910 ) (fraction is proper, so done). Lesson 32 Homework 4

Key Vocabulary for Lesson 32 Homework 4.5

To succeed, you must know these terms:

1. Mixed Number: A whole number and a fraction combined (e.g., (3 \frac14)).
2. Number Line: A visual tool showing numbers in order.
3. Decomposition: Breaking a fraction into smaller parts (e.g., ( \frac54 = 1 + \frac14 )).
4. Equivalent Fraction: Fractions that represent the same value (e.g., ( \frac12 = \frac24 )).

Practice Problems (Try These)

1. ( 2\frac13 + 1\frac12 )
2. ( 4\frac34 + 3\frac25 )
3. ( 1\frac56 + 2\frac13 )
4. ( 5\frac78 + 2\frac34 )

Answers (check after trying):

1. ( 3\frac56 )
2. ( 8\frac320 )
3. ( 4\frac16 )
4. ( 8\frac58 )

Printable Practice for Lesson 32 Homework 4.5

If you need extra practice beyond the original worksheet, try these custom problems:

| Problem | Answer | |---------|--------| | 1 3/5 + 2 2/5 | 4 0/5 = 4 | | 4 2/3 – 1 1/3 | 3 1/3 | | 3 7/8 + 2 3/8 | 6 2/8 = 6 1/4 | | 5 1/6 – 2 5/6 | 2 2/6 = 2 1/3 | | 7 4/10 + 1 9/10 | 9 3/10 |

Parent Tips: How to Help Without Doing the Homework

If you found this article because your child is stuck on lesson 32 homework 4.5, here are three actionable strategies:

Why Number Lines Matter in Lesson 32

The Eureka Math curriculum emphasizes number lines because they build fraction number sense. Unlike area models (circles, rectangles), number lines show:

• Magnitude: Is ( \frac78 ) closer to 0 or 1?
• Addition as movement: Adding means moving right.
• Mixed numbers as natural points: ( 2 \frac14 ) is exactly between 2 and 3.

Mastering lesson 32 homework 4.5 means you are ready for Lesson 33, where students subtract a fraction from a whole number (e.g., ( 4 - \frac35 )) using similar number line strategies.

Common Challenges & How to Overcome Them