Fractions and Mixed Numbers Concepts

The video tutorial explains how to model the multiplication of fractions using fraction bars and formal rules. It demonstrates the process of finding the product of two-thirds and three and a half by dividing and shading fraction bars. The tutorial also covers converting mixed numbers to improper fractions and applying formal multiplication rules to verify results. The final product is shown to be two and one-third, both through modeling and formal calculation.

What is the initial product we are trying to model using fraction bars?

• One-third times four

• Three-fourths times two

• Two-thirds times three and a half

• One-half times three

How do we divide the fraction bars to represent two-thirds of three and a half?

• Into four equally sized pieces

• Into three equally sized pieces

• Into five equally sized pieces

• Into two equally sized pieces

What does shading two out of three pieces in the fraction bars represent?

• One-half of the product

• Two-thirds of the product

• The entire product

• One-third of the product

What is the result of two-thirds times three and a half when expressed as a mixed number?

• Two and one-third

• Two and one-fourth

• One and one-third

• Three and one-third

How is three and a half rewritten as an improper fraction?

• Seven-thirds

• Seven-halves

• Seven-fourths

• Seven-fifths

What is the formal rule for multiplying fractions?

• Multiply the numerators and denominators

• Multiply the numerators and add the denominators

• Add the numerators and denominators

• Add the numerators and multiply the denominators

What is the product of two-thirds and seven-halves as an improper fraction?

• Four-thirds

• Seven-fourths

• Seven-thirds

• Four-halves

How do you convert an improper fraction to a mixed number?

• Add the numerator to the denominator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

What is the remainder when seven is divided by three?

• One

• Two

• Zero

• Three

What is the final mixed number result of the product?

• Two and one-fourth

• Three and one-third

• One and one-third

• Two and one-third