1. Multiply. Write in simplest form. 1. 2.3. 4.
5. A bag contains 50 pieces of candy. If of the pieces are red, how many pieces are NOT red?
Course 1, Lesson 4-3

2. ANSWERS
1. 12 or
3. 21 4.
pieces
Course 1, Lesson 4-3

3. multiply and divide fractions?
The Number System
WHAT does it mean to
multiply and divide fractions?
Course 1, Lesson 4-3

4. 7 Look for and make use of structure.
The Number System
Preparation for 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
5 Use appropriate tools strategically.
7 Look for and make use of structure.
Course 1, Lesson Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5. To multiply fractions To simplify before multiplying fractions
The Number System
To multiply fractions
To simplify before multiplying fractions
Course 1, Lesson 4-3

6. The Number System
Multiply Fractions
Words Multiply the numerators and multiply the denominator.
Model
Numbers
Symbols
Course 1, Lesson 4-6

7. Find × . Write in simplest form.
Step-by-Step Example 1.
Find × . Write in simplest form.
Use an area model. 1
Divide the rectangle into 4 rows. Then
divide the rectangle into 3 columns.
Shade a section that is unit wide
by unit long. 2
The section that is shaded represents × , or
Use an equation. 3
Multiply the numerators.
Multiply the denominators.
Simplify. 4
Need Another Example?

8. Need Another Example?
Answer

9. Check for Reasonableness
Step-by-Step Example 2. 1
Estimate
× 1 = 1
Divide both the numerator and the denominator by 3. 2 2
Simplify. Compare to the estimate. 3
Check for Reasonableness 4
Need Another Example?

10. Need Another Example?
Answer

11. Check for Reasonableness
Step-by-Step Example 3. 1
Estimate
Write 18 as a fraction with a denominator of 1. 2 2
Divide both the numerator and the denominator by 9. 3 1
Simplify. Compare to the estimate. 4 5
Check for Reasonableness
Need Another Example?

12. Need Another Example? 10
Answer

13. So, Frank mowed of the lawn on Saturday.
Step-by-Step Example 4.
Frank had of the lawn left to mow. On Saturday, he mowed of what was left. What fraction of the entire lawn did Frank mow on Saturday? 1 1
Divide both the numerator and the denominator by 2. 1
Simplify. 2
So, Frank mowed of the lawn on Saturday. 3
Need Another Example?

14. Need Another Example?
Katie used of her beads to make a necklace. She used of the remaining beads to make a bracelet. What fraction of the total beads did she use to make a bracelet?
Answer

15. How did what you learned today help you answer the
The Number System
How did what you learned
today help you answer the
WHAT does it mean to
multiply and divide fractions?
Course 1, Lesson 4-3

16. How did what you learned today help you answer the
The Number System
How did what you learned
today help you answer the
WHAT does it mean to
multiply and divide fractions?
Sample answer:
To find the fractional portion of a fractional set
Course 1, Lesson 4-3

17. Write the steps you would use to multiply and .
The Number System
Ratios and Proportional Relationships
Write the steps you would
use to multiply and .
Course 1, Lesson 4-3