Multiplying Mixed Numbers and Fractions

In this lesson, students learn to multiply mixed numbers and fractions through a series of examples and methods. The teacher introduces the concept using Jamie's garden problem, demonstrating both the area model and equation method. Students are guided through converting mixed numbers to improper fractions and using multiplication to find solutions. The lesson concludes with practice problems to reinforce the concepts.

What is the first step in multiplying mixed numbers?

• Divide them by two

• Add them together

• Subtract the smaller from the larger

• Convert them to improper fractions

In the garden problem, what is the length of Jamie's garden?

• One yard

• Four yards

• Two and three-fourths yards

• Three yards

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

• Subtract the numerator from the whole number

• Multiply the whole number by the denominator, add the numerator, and keep the denominator

• Add the whole number to the numerator

• Multiply the numerator by the denominator

What is an alternative method to multiply mixed numbers without converting to improper fractions?

• Subtract the fraction from the whole number

• Add the mixed number to itself

• Divide the mixed number by two

• Multiply the whole number and fraction separately, then add the results

How many yards of rope does Izzy use for the tire swing?

• Four yards

• One and a half yards

• Three yards

• Two and one-tenth yards

What is the result of multiplying one and five-ninths by three-fourths?

• One and a quarter

• One and two-thirds

• One and a half

• One and one-third