IXL | Multiply with mixed numbers using area models | 5th grade math

or

Use the model to find

1

2

×

1

2

.

First, find the area of each rectangle.

4

1

2

1

2

Then, find the total area.

1

2

×

1

2

=

ref_doc_title.

or

Learn with an example

question

Use the model to find

2

3

×

2

3

.

First, find the area of each rectangle.

3

2

3

2

3

Then, find the total area.

2

3

×

2

3

=

solution

This model represents

2

3

×

2

3

as a big rectangle made of smaller rectangles. The side lengths of each smaller rectangle are shown.

3

2

3

2

3

?

?

Multiply the side lengths to find the area of each smaller rectangle.

2

3

×

3

=

6

3

=

2

2

3

×

2

3

=

4

9

Fill in the areas on the model.

3

2

3

2

3

2

4

9

Add the areas of the smaller rectangles to find the total area of the model.

2

+

4

9

=

4

9

The total area is

4

9

.

2

3

×

2

3

=

4

9

Looking for more? Try these:

Lesson: Multiplying fractions

Lesson: Multiplying fractions and whole numbers

or

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Not feeling ready yet? These can help:

O.2Multiply fractions by whole numbers II

P.1Multiply two fractions

I.7Multiply 2-digit numbers by 2-digit numbers using area models

Lesson: Multiplying fractions

Lesson: Multiplying fractions and whole numbers