I wonder… _ = ?

1. What would happen if you divided a mixed number by a fraction? What would happen if you divided a fraction by a mixed number? I wonder… _ = ?

2. In this lesson you will learn how to divide mixed numbers and fractions by thinking about equal groups.

3. 2 _ = 4 1 whole 1 whole _ 2 = 1 whole 1 whole 2 1 3 4 1 2 _ = 2

4. A common mistake is to think that dividing a number always leads to an answer that is smaller than the number being divided. _ 2 = 2 _ = 4 Dividend < Divisor Dividend > Divisor Quotient < 1 Quotient > 1

5. My answer should be more than 1. 1 _ = ? 2 1 whole 1 whole 1 whole This answer makes sense because it is more than 1. 1 whole 1 whole 1 set of 1 set of

6. My answer should be less than 1. 1 _ 2 = ? 1 whole 1 whole 1 whole 1 whole 1 whole 1 whole 1 whole This answer makes sense because it is less than 1. One set of 2…

7. My answer should be more than 1. 2 _ = ? 3 ? 1 whole 1 whole 1 whole 1 whole 1 whole 1 whole 1 whole 1 whole This answer makes sense because it is more than 1. of 1 set of 1 set of 1 set of

8. In this lesson you have learned how to divide mixed numbers and fractions by thinking about equal groups.

9. _ 1 = 1 whole 1 whole 1 whole 1 whole

10. Create a division problem using both a fraction and a mixed number that would result in a quotient of . • Create a division problem using both a fraction and a mixed number that would result in a quotient of 2.

11. Dividend > Divisor Dividend <Divisor Quotient < 1 Quotient > 1 • Analyze the following division problems. For each problem, estimate if the quotient will be less than 1 or greater than 1. _ 2= 1 _ = _ =

12. of what 1 _ = 2 number is 1 ? of 2 • The thought bubble above shows a different way to think about the problem. is 1. Think: of what number is 2 ? • Use this method of thinking to mentally calculate 2_ . • (Check by multiplying.)

13. 2 _ = _ 1=