Dividing Mixed Numbers and Fractions

This lesson teaches how to divide mixed numbers by fractions using the reciprocal method. It explains the concept of reciprocals and demonstrates the process through real-world problems, such as a carpenter cutting wood and packaging chocolate. The lesson emphasizes using models and strategies like breaking apart numbers and converting to improper fractions to simplify calculations.

What is the first step in dividing mixed numbers by fractions?

• Add the mixed number and the fraction

• Subtract the fraction from the mixed number

• Multiply by the reciprocal of the fraction

• Convert the mixed number to a decimal

How many groups of one-fourth are in two and a half?

• 12

• 10

• 8

• 5

What is the reciprocal of one-fourth?

• 1

• 4

• 1/4

• 2

In the carpenter's example, how many shelves can be made from one and three-fourths yards of wood?

• 4

• 2

• 3.5

• 3

What is the improper fraction form of one and three-fourths?

• 8/4

• 7/4

• 6/4

• 5/4

What is the result of multiplying seven-fourths by two?

• 14/4

• 12/4

• 10/4

• 8/4

How many one-fourth pound packages can be made from one and one-eighth pounds of chocolate?

• 3

• 4

• 5

• 4.5

What is the reciprocal of one-half?

• 1/2

• 4

• 2

• 1

What is the sum of 4 and 4/8 in simplest form?

• 5

• 4.75

• 4.25

• 4.5

What is the final lesson learned in this video?

• How to add mixed numbers

• How to subtract fractions

• How to multiply fractions

• How to divide mixed numbers by fractions using the reciprocal