Illustrating Multiplying Fractions with Area Models

The video tutorial explains how to multiply fractions using area models. It starts with a problem involving 3/4 and 1/3, demonstrating how to multiply the numerators and denominators to find the solution. The tutorial then illustrates the solution using an area model, dividing the model into parts based on the denominators and shading sections according to the numerators. The process is repeated with a different problem, working backwards from an area model to identify the multiplication problem it represents. The video emphasizes understanding the relationship between the area model and the multiplication of fractions.

What is the first step in multiplying fractions using an area model?

• Shade in the sections

• Multiply the numerators and denominators

• Divide the model into equal parts

• Identify the fractions to be multiplied

How many parts do we divide the area model into for the fraction 3/4?

• 4 parts

• 7 parts

• 3 parts

• 12 parts

What does shading in the area model represent?

• The product of the fractions

• The numerator

• The denominator

• The division of the fractions

How is the fraction 1/3 represented in the area model?

• By dividing the model into 12 parts

• By shading in three out of four horizontal sections

• By shading in all the parts

• By shading in one out of three vertical sections

What is the product of 3/4 and 1/3 as shown in the area model?

• 4/12

• 3/12

• 9/12

• 1/12

How do we start working backwards from an area model?

• By shading in the sections

• By identifying the shaded sections

• By dividing the model into parts

• By multiplying the fractions

What fraction is represented by shading three out of five rows?

• 4/5

• 5/5

• 3/5

• 2/5

How many green boxes indicate the product of the fractions in the second example?

• 5

• 15

• 6

• 12

What is the correct multiplication problem for the second area model?

• 2/3 * 3/5

• 3/5 * 2/3

• 3/4 * 1/3

• 2/5 * 3/3

How do we verify the solution of the area model?

• By dividing the denominators

• By adding the numerators

• By subtracting the shaded sections

• By multiplying the fractions