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… _ = ?

In this lesson you will learn how to divide mixed numbers

and fractions by thinking about equal groups.

Let’s ReviewLet’s Review

2 _ = 4 12

1

12

4

12

3

12

2

1 whole 1 whole

_ 2 =

12

14

14

14

14

_ = 21 whole

1 whole14

14

14

14

12

1212

14

14

12

1 2

Let’s ReviewA Common Mistake

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

Let’s ReviewCore Lesson

1 whole 1 whole14

14121 whole

1 _ = ?

1 whole1 whole14

14

14

14

14

14

14

14

14

14

14

34

14

14

14

34

2

My answer should be

more than 1.

1 set of 1 set of

This answer makes sense because it is more than 1.

Let’s ReviewCore Lesson

1 whole 1 whole14

14121 whole

1 _ 2 = ?

1 whole1 whole1 whole 1 whole

One set of 2…

1 2 3 4

My answer should be less

than 1.34

This answer makes sense because it is less than 1.

Let’s ReviewCore Lesson

1 whole

1 whole

1 whole

2 _ = ?

1 whole

1 whole

1 whole

3 My answer should be

more than 1.

14

14121

whole1

whole14

14

14

14

14

14

14

14

14

14

14

14

14

14

14

34

14

14

14

34

14

14

14

34

14

14

14

341 set of

23

1 set of 1 set of

?1

of

This answer makes sense because it is more than 1.

In this lesson you have learned how to divide mixed numbers

and fractions by thinking about equal groups.

Let’s ReviewGuided Practice

_ 1 =

1 whole

1 whole

1 whole

1 whole

131313

Let’s ReviewExtension Activities

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

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

Let’s ReviewExtension Activities

Analyze the following division problems. For each problem, estimate if the quotient will be less than 1 or greater than 1.

Dividend < DivisorQuotient >

1

Dividend > DivisorQuotient < 1

1 _ =

_ =

_ 2 =

Let’s ReviewExtension Activities

1 _ = 2

The thought bubble above shows a different way to think about the problem.

of what

number is 1 ?

Use this method of thinking to mentally calculate 2 _ .

Think: of what number

is 2 ?

of 2

is 1 .

(Check by multiplying.)

Let’s Review

Quick Quiz

2 _ =

_ 1 =