Dividing Mixed Numbers and Fractions

This lesson covers dividing mixed numbers using models, fraction strips, and word problems. It explains how to rewrite mixed numbers as improper fractions and use reciprocals for division. The lesson also demonstrates cross canceling, simplifying, and verifying results with multiplication. A comparison between dividing by two and by half is explored, highlighting the differences. The lesson concludes with a summary and a preview of the next topic on solving area problems.

What is a mixed number composed of?

• Two whole numbers

• Two fractions

• A whole number and a fraction

• A whole number and a decimal

How many batches of cookies can Tala make with 5 1/3 cups of sugar if each batch requires 2/3 cup?

• 9 batches

• 8 batches

• 7 batches

• 6 batches

What is the first step in dividing mixed numbers?

• Subtract the smaller from the larger

• Add them together

• Rewrite them as fractions greater than one

• Convert them to decimals

What is the reciprocal of 2/3?

• 2/3

• 3/2

• 3/1

• 1/2

How can you verify the result of a division problem?

• By adding the divisor to the quotient

• By multiplying the quotient by the divisor

• By subtracting the divisor from the quotient

• By dividing the quotient by the divisor

What is the result of multiplying 6 by 4 in the context of checking division?

• 18

• 30

• 24

• 20

What happens when you divide two-thirds by 2?

• You get one-half

• You get one-third

• You get two-thirds

• You get one-sixth

What is the result of dividing two-thirds by one-half?

• Two-thirds

• One-half

• One and one-third

• Two

What is the difference between dividing by 2 and dividing by 1/2?

• Dividing by 1/2 gives a larger result

• Both give the same result

• Dividing by 1/2 gives a smaller result

• Dividing by 2 gives a larger result

What should you do if you find dividing by fractions confusing?

• Ignore the problem

• Skip to the next topic

• Ask someone else to solve it

• Rewind and review the lesson