1. WARM UP 8/28 Change these mixed numbers to improper fractions.

2. Lesson Check Up
Multiply or Divide the Fractions Below

3. DIVIDING FRACTIONS
Lesson Objective: To solve math problems involving division of fractions.
Today, we will use…
visual fraction models
division equations

4. There are 2 groups of 2 in 4, therefore
Dividing Fractions
What does 4 ÷ 2 mean in words? Justify your reasoning by using a model or a drawing.
how many groups of are in 4? ÷
Modeling this with tiles may be more effective.
There are 2 groups of 2 in 4, therefore
4 ÷ 2 = 2

5. (How many groups of 2/3 are in 3/4)?
Example 1
What does 3/4 ÷ 2/3 mean in words?
(How many groups of 2/3 are in 3/4)?
Modeling this with tiles may be more effective.

6. Example 1 3/4 ÷ 2/3 ÷ When dividing fractions…
Model the first fraction.
Model the second fraction.
Modeling this with tiles may be more effective. ÷

7. Example 1 3/4 ÷ 2/3
Next, divide both models into the same number of pieces… In this case it would be 12 pieces.
The # I have!
The # I want!
Modeling this with tiles may be more effective. ÷
9 = 7

8. Example 1 3/4 ÷ 2/3
Next, find out how many groups of 2 /3 are in 3/ 4.
The # I have!
The # I want!
Modeling this with tiles may be more effective. ÷
9 =
There is 1 whole group of 8 and one more left out of another group of 8 8

9. Example 2 Mrs. Watkins is cutting trim for her windows
Example 2 Mrs. Watkins is cutting trim for her windows. She has 1/2 yard of trim and she needs to cut her trim into pieces that are 1/3 yard pieces. How many pieces of trim can she cut? 1/2 ÷ 1/3
Model the first fraction.
Model the second fraction.
1/2
1/3 ÷

10. Example 2 1/2 ÷ 1/3
Next, divide both models into the same number of pieces… In this case it would be ___ pieces. 6
1/2
1/3 ÷
3 = 10

11. Example 2 1/2 ÷ 1/3
Next, find out how many groups of 1 /3 are in 1/ 2.
The # I have!
The # I want! ÷
She can cut 1 whole piece and one piece that is only half as long as she needs.
3 = 11

12. Example 3 Mr. Shannon is making a cake for Labor Day
Example 3 Mr. Shannon is making a cake for Labor Day. He needs 1 2/3 cups of flour but his measuring cup only measures ¾ of a cup. How many ¾ cup portions of flour will he need to put into the recipe? 1 2 ÷ ÷
Model the first fraction or mixed number.
Model the second fraction.

13. Example ÷
Next, divide both models into the same number of pieces… In this case it would be ___ pieces. 12 ÷ 13

14. Example ÷ ÷
20 = 14

15. Example ÷
Find out how many groups of 3/4 (9 units) are in 1 2/3 (20 units) ÷
Mr. Shannon will need 2 whole portions out of his measuring cup plus 2/9’s more.
20 = 15

16. Guided Practice SOLVE by using the S. O. A. R
Guided Practice SOLVE by using the S.O.A.R. method or by making area models.
1/2 ÷ 1/4
2. 1/2 ÷ 2/3
2/3 ÷ 1 /2
4. 2/3 ÷ 1/4
Quiz Friday!