Fraction Multiplication Introduction

Name:

Date:

📚 Part 1: Fraction Types and Basic Concepts

1. Identify each fraction as proper, improper, or mixed number:

a) 3/4: _______________

b) 7/5: _______________

c) 2 1/3: _______________

d) 4/9: _______________

2. What does it mean to multiply a number by a fraction? Choose the best answer:

To add the fraction multiple times

To take a part of the original number

To make the number bigger

To convert it to a decimal

3. Which of the following represent "1/2 of 3/4"? Check all that apply:

1/2 × 3/4

Taking half of three-quarters

1/2 + 3/4

Finding part of a part

4. Recipe Problem: Sarah wants to make 1/2 of a recipe that calls for 3/4 cup of flour. How much flour does she need?

Answer: _______ cup of flour

5. Painting Problem: Marcus painted 2/3 of a wall. If 3/4 of the painted area is blue, what fraction of the entire wall is blue?

Answer: _______ of the wall is blue

6. Explain in your own words what happens when you multiply two fractions that are both less than 1:

7. Draw a visual model (rectangle or area model) to show 1/2 × 2/3:

8. True or False: When you multiply two proper fractions, the result is always smaller than both original fractions.

Circle one: TRUE or FALSE

Explain your reasoning: _________________________________________________

9. Complete this sentence: "Multiplying fractions means..."