Multiplying Mixed Numbers and Fractions

This lesson teaches how to multiply mixed numbers by renaming the factors as improper fractions. It begins with an introduction to the concept, followed by a demonstration of the break apart strategy using a model. The lesson then explains how to rename mixed numbers as improper fractions and multiply across numerators and denominators. An example problem involving rainfall calculation is provided to illustrate the method. The lesson concludes by summarizing the key points learned.

What is the first step in multiplying mixed numbers by renaming them?

• Rename them as improper fractions

• Divide them by two

• Convert them to whole numbers

• Add them together

How can you think of multiplying a whole number by a mixed number?

• As multiple groups of the mixed number

• As a division problem

• As a subtraction problem

• As a single multiplication problem

What is the product of four times one-half?

• Three wholes

• One whole

• Four wholes

• Two wholes

How do you rename a whole number as an improper fraction?

• By multiplying it by two

• By giving it a denominator of one

• By adding one to it

• By subtracting one from it

What is the improper fraction form of two and a half?

• Six halves

• Five halves

• Four halves

• Three halves

In the rainfall problem, what is the improper fraction form of two and two-thirds?

• Ten-thirds

• Seven-thirds

• Eight-thirds

• Nine-thirds

How do you simplify the fraction eight-twelfths?

• Divide by 2

• Divide by 3

• Divide by 4

• Divide by 5

What is the simplest form of the fraction eight-twelfths?

• Three-fourths

• Four-fifths

• One-half

• Two-thirds

What does the total amount of rainfall on Saturday equal in inches?

• One-third

• Two-thirds

• Three-thirds

• Four-thirds

What is the final step in multiplying mixed numbers by renaming them?

• Simplifying the result

• Multiplying the result by two

• Subtracting the fractions

• Adding the fractions