Exploring Fraction Multiplication with Area Models

What does an area model represent in multiplication?

• The product as the area of a rectangle

• The product as the sum of two numbers

• The product as the difference between two numbers

• The factors as the perimeter of a rectangle

In mathematics, what does the word 'of' typically indicate?

• Addition

• Subtraction

• Division

• Multiplication

How do you write '2/3 of 3/4' using mathematical symbols?

• 2/3 ÷ 3/4

• 2/3 - 3/4

• 2/3 + 3/4

• 2/3 × 3/4

What is the first step in using an area model for fraction multiplication?

• Shade the entire rectangle

• Divide the rectangle based on the first fraction's denominator

• Divide the rectangle based on the second fraction's denominator

• Label the sides of the rectangle

What does the shaded area in an area model of fraction multiplication represent?

• The difference between the fractions

• The sum of the fractions

• The product of the fractions

• The division of the fractions

How do you simplify the fraction 6/12?

• 1/6

• 3/6

• 1/2

• 2/6

What is the result of multiplying 1/3 by 4/5 using the fraction multiplication algorithm?

• 12/15

• 3/20

• 1/15

• 4/15

What does 'a/b × c/d' equal according to the fraction multiplication algorithm?

• b × c / a × d

• a × c / b × d

• a × b / c × d

• a × d / b × c

What is the simplified form of the fraction 4/15?

• 4/15

• 2/7

• 8/30

• 1/4

For the practice problem, what is the first step students must take?

• Draw an area model in their notebook

• Solve the problem using the multiplication algorithm

• Reduce the final answer to its simplest form

• Write the fractions in decimal form