1. Lesson 3.3.1 Dividing Fraction and Mixed Numbers

2. Recap of what we have learned in chapters 2 and 3.

3. Modeled addition and subtraction on a number line with the Storm Chasers and Henry the hiker.

4. Added and subtracted integers, fractions, and decimals using rules.
Christ of the Abyss
-15 + (-7)

5. Multiplied integers, fractions, and decimals using rules.
3 1 2 • body Weight
Super Gravity!

6. The only thing left is…
Division!

7. Today…
We will review what you have learned in previous grades about dividing fractions.
Section 1: Vocabulary
Section 2: Strategy for dividing fractions and mixed numbers
Section 3: Guided and independent practice

8. Let’s get started… Section 1: Vocabulary
Reciprocals – Two numbers are reciprocals if their product = 1.
To get the reciprocal of a fraction, just flip it over.
  The reciprocal of 𝟑 𝟒 is………… 𝟒 𝟑 𝟑 𝟒 x 𝟒 𝟑 = 𝟏𝟐 𝟏𝟐 =
What is the reciprocal of 𝟓 𝟖 ? ________
The reciprocal of 5/8 is 8/5

9. Moving on…
We will review what you have learned in previous grades about dividing fractions.
Section 1: Vocabulary
Section 2: Strategy for dividing fractions and mixed numbers
Section 3: Guided and independent practice

10. K C F Strategy Keep It! Change It! Flip It!
Section 2: Strategy for Dividing Fractions and Mixed Numbers
K C F
Keep It! Change It! Flip It!
I have a strategy that will help us remember how to divide fractions. It’s called KCF. Keep it! Change it! Flip it!
Let’s take a look
using a real-world example.

11. Dividing Fractions
12 ÷ 1 𝟏 𝟑

12. Convert
Convert any mixed number to improper fractions.
12 ÷ 1 𝟏 𝟑
12 ÷ 𝟒 𝟑

13. Keep it Change it Flip it
Apply Strategy
Keep it Change it Flip it ÷
Discuss how to set up the problem using the KCF strategy.
12 1
3 4 ×

14. Multiply 12 1 × 3 4 = = 𝟗 9 1 Now multiply to find your answer! 3 1
12 1 × 3 4
9 1 = = 𝟗 1
You may need to review how to cross cancel.

15. Dividing Fractions
9 mph
12 ÷ 1 𝟏 𝟑

16. Another Example

17. Common Denominator Method
Step 1:
Convert any mixed Numbers to Improper Fractions
3 ÷ 13
There are no improper fractions
Step 2:
Find the common denominator & re-write the equivalent fraction
6 ÷ 13
Step 3:
Cross out the denominators and divide the numerators only (left to right) Write as a fraction
6 ÷ 13 6_ 13

18. Last section…
We will review what you have learned in previous grades about dividing fractions.
Section 1: Vocabulary
Section 2: Strategy for dividing fractions and mixed numbers
Section 3: Guided and independent practice

19. Practice Section 3: Guided and independent practice
Check student notes answer keys for answers.

20. Practice
Check student notes answer keys for answers.

21. Closure 𝟓 𝟔 ÷ 𝟒 𝟓 = What is our strategy for dividing fractions?
2) What is the reciprocal of 𝟐 𝟑 ?
3) How would you change the following division problem to a multiplication problem?
𝟏 𝟐 ÷ 𝟐 𝟑 =
𝟓 𝟔 ÷ 𝟒 𝟓 =
4) What MUST you do to all mixed numbers when multiplying and dividing?
Keep it, Change it, Flip it (KCF)
𝟑 𝟐
𝟏 𝟐 × 𝟑 𝟐
𝟓 𝟔 × 𝟓 𝟒
Turn them to improper fractions!

22. Exit Ticket

23. Exit Ticket
18/4; 4 1/2
–2 𝟏 𝟐
–1 𝟏 𝟑
5 𝟏 𝟑

24. Time for Classwork!

25. End of PowerPoint