Multiplying Mixed Numbers with an Area Model

The video tutorial explains how to multiply mixed numbers using an area model. It begins by setting up a multiplication problem with mixed numbers and visualizing it as a rectangle subdivided into smaller rectangles. Each rectangle's area is calculated, and the total area is found by adding these areas. The tutorial compares this method with the traditional algorithmic approach, showing that both yield the same result. A quick example is provided to reinforce the concept.

What is the first step in solving the problem using the area model?

• Finding the volume

• Finding the perimeter

• Drawing a rectangle

• Drawing a circle

How do you subdivide the rectangle for the problem 2 and 1/3 times 1 and 3/4?

• Into 6 parts

• Into 3 parts

• Into 2 parts

• Into 4 parts

What is the area of the rectangle with sides 2 and 1?

• 2

• 3

• 1

• 4

How do you find the area of the smallest rectangle in the model?

• Multiply 2 by 3/4

• Multiply 2 by 1

• Multiply 1/3 by 3/4

• Multiply 1 by 1/3

What is the common denominator used to add the fractions 1/3, 6/4, and 3/12?

• 4

• 8

• 6

• 12

What is the final answer for the problem 2 and 1/3 times 1 and 3/4 using the area model?

• 4 and 2/12

• 3 and 1/12

• 4 and 1/12

• 5 and 1/12

What is the first step in the traditional algorithm for solving the problem?

• Draw a rectangle

• Find the common denominator

• Convert mixed numbers to improper fractions

• Add the fractions

What is the improper fraction for 2 and 1/3?

• 8/3

• 7/4

• 7/3

• 6/3

What is the result of multiplying 7/3 by 7/4?

• 49/12

• 48/12

• 47/12

• 50/12

What is the simplified form of 5 and 10/12?

• 5 and 5/6

• 5 and 1/2

• 5 and 1/3

• 5 and 2/3