Understanding Fraction Division and Cancellation

In this video, Mr. Jay explains how to use cancellation, also known as cross-cancellation, to simplify division problems involving fractions. He demonstrates the process with examples, showing how to identify common factors diagonally and simplify before multiplying. The video covers both using and not using cancellation, highlighting its benefits in simplifying calculations. Mr. Jay also addresses using cancellation with whole numbers and provides tips on when it is applicable. The video concludes with a reminder that while cancellation is not always necessary, it is a useful strategy to know.

What is the primary benefit of using cancellation in fraction division?

• It eliminates the need for multiplication.

• It changes the fractions to decimals.

• It simplifies the problem before multiplying.

• It makes the numbers larger.

In the first problem, what is the greatest common factor used to simplify 4 and 8?

• 5

• 2

• 3

• 4

When simplifying 9 and 15 in the first problem, which common factor is used?

• 5

• 2

• 4

• 3

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CCSS.7.NS.A.2A

What is the result of multiplying the numerators after cancellation in the first problem?

• 6

• 5

• 3

• 9

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CCSS.5.NF.B.6

What is the final simplified answer for the first problem using cancellation?

• 8/15

• 6/5

• 4/9

• 5/6

What is the greatest common factor between 60 and 72 in the non-cancellation method?

• 8

• 6

• 10

• 12

In the second problem, what is the greatest common factor used to simplify 12 and 6?

• 3

• 2

• 6

• 4

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CCSS.4.NBT.B.6

What is the final answer for the second problem after applying cancellation?

• 7

• 12

• 6

• 14

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CCSS.7.NS.A.2C

Can cancellation be used in every fraction division problem?

• Yes, always.

• No, only when there are common factors.

• Yes, but only with whole numbers.

• No, it depends on the size of the fractions.

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CCSS.7.NS.A.2A

Is cancellation necessary to arrive at the correct answer in fraction division?

• Yes, it is mandatory.

• No, but it is a helpful strategy.

• Yes, for all problems.

• No, it complicates the process.

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CCSS.7.NS.A.2A