Making Smoothie (Representing the product of a whole number and a fraction using area models)

The video tutorial teaches how to calculate the product of a proper fraction and a whole number using area models. Devon, who is making smoothies, needs to multiply 2/3 of a cup of yogurt by 4. The tutorial explains how to use area models to visualize this multiplication, requiring four squares to represent the whole number factor. Each square is divided into thirds, and the overlapping shaded areas represent the product. The result is 8/3, which simplifies to 2 and 2/3 cups of yogurt. The lesson concludes with a summary of the method used.

Devon wants to make smoothies for his friends. If the recipe calls for 2/3 of a cup of yogurt, how many times does he plan to multiply the recipe?

• 4 times

• 5 times

• 2 times

• 3 times

When using area models to multiply a fraction by a whole number, how many squares should be drawn if the whole number is 4?

• 1 square

• 2 squares

• 4 squares

• 3 squares

In an area model, how do you represent 2/3 of a square?

• Shade the entire square

• Divide the square into 2 parts and shade 1

• Divide the square into 4 parts and shade 3

• Divide the square into 3 parts and shade 2

What is the product of multiplying 2/3 by 4 using the area model?

• 6/3

• 8/3

• 10/3

• 12/3

How much yogurt in total will Devon need for the smoothies?

• 1 and 1/3 cups

• 3 and 2/3 cups

• 2 and 1/3 cups

• 2 and 2/3 cups