How do you solve a division problem involving fractions when the

quotient has something left over (a remainder)?

I wonder… _ = ?

In this lesson you will learn to divide a fraction by a fraction,

and represent any left over pieces (remainders), 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

Let’s ReviewLet’s Review

1 whole

1 whole14

14

14

14

12

1212

14

14

12

1 2

_ = 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 > DivisorQuotient < 1 Quotient > 1

Let’s ReviewCore Lesson

_ = ?

12

12

18

18

18

18

1818

18

18

1818181818

One set of …

45

11 2 3 4 This answer makes sense because it is less than 1.

My answer should be less

than 1.

Let’s ReviewCore Lesson

_ = ?

18

18

18

18

1818

18

18

1818181818

One set of …

My answer should be more than 1.

14

14

14

14

14

14

14

?1 2 3 4 ?151515151515

15

This answer makes sense because it is more than 1.

115

In this lesson you have learned how to divide a fraction by a

fraction, and represent any left over pieces (remainders), by thinking about equal groups.

Let’s ReviewGuided Practice

_ =

1 whole

1 whole

16

16

16

16

16

16

Let’s ReviewExtension Activities

Draw rectangular models to represent these problems. Are the answers shown correct? Why or why not?

_ =

_ = 1

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

_ =

_ =

_ =

Let’s ReviewQuick Quiz

_ =

_ =