Dividing Mixed Numbers by Fractions

This lesson teaches how to divide mixed numbers by fractions using visual models. It begins with a review of dividing whole numbers by fractions and introduces the concept of using models to understand division. The lesson includes examples such as dividing 2.5 pounds of hamburger meat into 1/4 pound portions and determining how many weeks it takes for a plant to grow 1.75 inches at a rate of 0.5 inches per week. The lesson emphasizes understanding division through visual representation and concludes with practical applications.

What is one way to think about dividing 2 by 1/4?

• How many groups of 1/2 are in 2 wholes

• How many groups of 1/4 are in 1 whole

• How many groups of 2 are in 1/4

• How many groups of 1/4 are in 2 wholes

How many groups of 1/4 are there in two wholes?

• Four

• Six

• Eight

• Ten

If you have 2 and a half pounds of hamburger meat, how many 1/4 pound hamburgers can you make?

• Ten

• Twelve

• Five

• Eight

What is the first step in using a model to divide mixed numbers by fractions?

• Divide the whole into thirds

• Use circles to represent whole units

• Divide the whole into fifths

• Use rectangles to represent whole units

How many groups of 1/4 can fit into two and a half?

• Ten

• Nine

• Eight

• Eleven

How many weeks will it take for a plant to grow 1 and 3/4 inches if it grows 1/2 inch per week?

• Two weeks

• Three and a half weeks

• Four weeks

• Five weeks

What is the division equation to find out how many groups of 1/2 are in 1 and 3/4?

• 1 and 1/4 divided by 1/2

• 1 and 3/4 divided by 1/4

• 1 and 3/4 divided by 1/2

• 1 and 1/2 divided by 1/2

What is the result of dividing 1 and 3/4 by 1/2?

• Four

• Three

• Two

• Three and a half

What is the purpose of using models in dividing mixed numbers by fractions?

• To make the process faster

• To avoid calculations

• To visualize the division

• To use fewer numbers

What did you learn in this lesson?

• How to subtract fractions from mixed numbers

• How to divide mixed numbers by fractions using models

• How to multiply mixed numbers by fractions

• How to add mixed numbers to fractions