1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up Multiply. 1. 2. 3. 4. 1 2 __ 3 • 1 6 __ • 4 5 __ 3 8 3 10 __ 3 1 2 __ 3 • 1 6 __ • 4 5 __ 3 8 3 10 __ 3 11 __ 6 11 __ 3 8 __ 5 8 __ 15 64 __
• 2 •

3. Problem of the Day
Tracy and Zachary are sharing a large pizza. Tracy cuts the pizza in half. Zachary says he cannot eat that much. Zachary cuts his half into fourths and eats one piece. What fraction of the whole pizza does Zachary not eat? 7 8 __

4. Sunshine State Standards
MA.6.A.1.2 Multiply and divide fractions…efficiently.
Also MA.6.A.1.3

5. To write a mixed number as an improper fraction, start with the denominator, multiply by the whole number, and add the numerator. Use the same denominator.
Remember! 1 5 __
1 • 5 + 1 5
_________ 6 5 __ 1 = =

6. Multiply. Write each answer in simplest form.
Additional Example 1A: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 1 4 __ 1 3 __
• 1 1 4 __ 3 •
Write as an improper fraction = 4 3 __ 1
1 • 4
4 • 3
_____
Multiply numerators. Multiply denominators. 4 12 __ 1 3 __
Write the answer in simplest form.

7. Multiply. Write each answer in simplest form.
Additional Example 1B: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 1 2 __ 4 5 __
3 • 7 2 __ 4 5 •
Write as an improper fraction = 7 2 __ 1
7 • 4
2 • 5
_____
Multiply numerators. Multiply denominators. 28 10 __ 14 5 __ 4 5 __
You can write the answer as a mixed number.
= 2

8. Multiply. Write each answer in simplest form.
Additional Example 1C: Multiplying Fractions and Mixed Numbers
Multiply. Write each answer in simplest form. 12 13 __ 3 8 __
• 2 12 13 __ 19 8 •
Write as an improper fraction = 19 8 __ 3 3 12 13 __ 19 8 •
Use the GCF to simplify before multiplying. 2
3 • 19
13 • 2
______ 57 26 __ 5 26 __
= 2
You can write the answer as a mixed number.

9. Multiply. Write each answer in simplest form.
Check It Out: Example 1A
Multiply. Write each answer in simplest form. 5 6 __ 2 3 __ • 2 8 3 __ 5 6 • 40 18 __ 20 9 __ 2 9 __ or 2

10. Multiply. Write each answer in simplest form.
Check It Out: Example 1B
Multiply. Write each answer in simplest form. 2 9 __ 1 4 __ • 2 9 4 _ 2 • 2 4 _ 1 2 _

11. Multiply. Write each answer in simplest form.
Check It Out: Example 1C
Multiply. Write each answer in simplest form. 1 6 __ 3 5 __ • 3 18 5 __ 1 6 _ • 18 30 __ 3 5 _

12. Remember!
You can estimate the product to see whether your answer is reasonable.

13. Find each product. Write the answer in simplest form.
Additional Example 2A: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 3 __ 1 7 __
1 • 2 5 3 __ 15 7 •
Write the mixed numbers as improper
fractions = = 5 3 __ 15 7 2 1
5 • 15
3 • 7
______
Multiply numerators. Multiply denominators. 75 21 __ 12 21 __
You can write the improper fraction as a mixed number. 3 4 7 __ 3
Simplify.

14. Find each product. Write the answer in simplest form.
Additional Example 2B: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 3 8 __ 2 5 __
1 • 2
Write the mixed numbers as improper
fractions = = 11 8 __ 12 5 3 2 11 8 __ 12 5 • 3 11 8 __ 12 5 •
Use the GCF to simplify before multiplying. 2
11 • 3
2 • 5
______
Multiply numerators. Multiply denominators. 33 10 __ 3 10 __ 3
Write the answer as a mixed number.

15. Find each product. Write the answer in simplest form.
Additional Example 2C: Multiplying Mixed Numbers
Find each product. Write the answer in simplest form. 2 5 __
2 • 4 2 5 __
2 • 4 2 5 __
2 • ( ) 2 5 __
(2 • 4) + ( 2 • )
Use the Distributive Property. 2 1 __ 2 5 __
(2 • 4) + ( • ) 4 5 __
8 +
Multiply. 4 5 __ 8
Add.

16. Find each product. Write each answer in simplest form.
Check It Out: Example 2A
Find each product. Write each answer in simplest form. 3 4 __ 1 6 __
1 • 2 7 4 __ 13 6 • 91 24 __ 19 24 __ 3

17. Find each product. Write each answer in simplest form.
Check It Out: Example 2B
Find each product. Write each answer in simplest form. 2 3 __ 1 4 __
3 • 2 11 3 __ 9 4 • 99 12 __ 33 4 __ 1 4 __ 8

18. Find each product. Write each answer in simplest form.
Check It Out: Example 2C
Find each product. Write each answer in simplest form. 1 8 __ 2 3 __
3 • 2 25 8 __ 3 • 25 3 __ 1 3 __ 8