Understanding Division by Fractions

The video tutorial explains how to divide the number four by two-thirds. It begins by introducing the concept of division by fractions and suggests multiplying by the reciprocal as a method. The tutorial then demonstrates this process by converting four into a fraction and multiplying it by the reciprocal of two-thirds. The result is simplified to show that four divided by two-thirds equals six. To reinforce understanding, the video uses a visual approach by drawing four whole units and dividing them into sections of two-thirds, illustrating how the division results in six equal parts.

What is the first step in solving four divided by two-thirds?

• Divide four by three

• Add four to two-thirds

• Multiply four by two-thirds

• Multiply four by the reciprocal of two-thirds

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CCSS.3.NF.A.3C

How can the number 4 be expressed as a fraction?

• 4/2

• 4/3

• 4/4

• 4/1

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CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

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

• 6

• 10

• 12

• 8

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CCSS.6.NS.A.1

Why is dividing by a fraction the same as multiplying by its reciprocal?

• It simplifies the calculation

• It changes the operation to addition

• It is a mathematical rule

• It reverses the division

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CCSS.1.NBT.B.2B

CCSS.1.NBT.B.2C

How many holes are drawn to represent the number 4?

• Five

• Three

• Four

• Two

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CCSS.2.G.A.3

Into how many sections is each whole divided?

• Halves

• Fifths

• Thirds

• Quarters

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What color is used to represent the first group of two-thirds?

• Red

• Blue

• Green

• Yellow

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CCSS.3.NF.A.1

CCSS.3.NF.A.2A

How many sections of two-thirds can be made from four wholes?

• Seven

• Six

• Five

• Four

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CCSS.1.G.A.3

What is the total number of sections created from four wholes?

• Eight

• Six

• Seven

• Five

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CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

What is the final conclusion about dividing four by two-thirds?

• It results in seven sections

• It results in six sections

• It results in five sections

• It results in four sections

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CCSS.5.NF.B.7B

CCSS.5.NF.B.7C