Exploring Division with Remainders as Fractions

The video tutorial explains how to convert remainders into fractions when dividing numbers. It begins with an introduction to the concept, followed by examples using 58 divided by 8, 37 divided by 4, and 7 divided by 5. Each example demonstrates how to handle the remainder by converting it into a fraction, providing a more sophisticated answer than simply stating the remainder. The tutorial concludes with a brief explanation of why this method works and offers a link to additional resources for learning about converting remainders to decimals.

What is the purpose of converting remainders into fractions?

• To make the division process easier

• To provide a more precise answer

• To avoid using decimals

• To simplify the multiplication process

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

In the example of 58 divided by 8, what is the mixed number result?

• 7 and 1/8

• 7 and 2/8

• 7 and 3/8

• 7 and 4/8

How do you write the remainder as a fraction in the example of 58 divided by 8?

• By writing 8 over 7

• By writing 7 over 8

• By writing 8 over 2

• By writing 2 over 8

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CCSS.4.NF.C.6

In the example of 37 divided by 4, what is the mixed number result?

• 9 and 4/4

• 9 and 3/4

• 9 and 2/4

• 9 and 1/4

What is the remainder when 37 is divided by 4?

• 4

• 1

• 3

• 2

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CCSS.4.NBT.B.6

In the example of 127 divided by 5, what is the mixed number result?

• 25 and 1/5

• 25 and 4/5

• 25 and 3/5

• 25 and 2/5

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CCSS.5.NF.B.3

What is the remainder when 127 is divided by 5?

• 1

• 2

• 4

• 3

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CCSS.4.NBT.B.6

Why is converting remainders to fractions not just a 'magic trick'?

• Because it simplifies the division process

• Because it provides a more accurate representation of the division

• Because it avoids the use of decimals

• Because it makes the answer look more complex

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the fraction form of the remainder in the example of 127 divided by 5?

• 5/1

• 5/2

• 1/5

• 2/5

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CCSS.4.NF.C.6

What is the next topic suggested to watch after this video?

• Multiplication with Fractions

• Division with Decimals

• Addition with Fractions

• Subtraction with Decimals

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CCSS.5.NBT.B.7