Exploring Equivalent Fractions and Simplification

This video tutorial explains how to find equivalent fractions using multiplication and division. It begins with an introduction to equivalent fractions and demonstrates how to create them by multiplying both the numerator and denominator by the same number. The tutorial then covers simplifying fractions by dividing both the numerator and denominator by a common factor. The video concludes with a final example and a brief review of the concepts covered.

What operation can we perform on both the numerator and denominator to find an equivalent fraction?

• Addition

• Division

• Multiplication

• Subtraction

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CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

To find equivalent fractions, what must be true about the operation performed on the numerator and denominator?

• Only subtraction is allowed.

• The operation can be different for each.

• The same operation must be applied to both.

• Only addition is allowed.

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CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

If we have the fraction 1/2, what is an equivalent fraction after multiplying both the numerator and denominator by 2?

• 3/6

• 2/3

• 1/4

• 2/4

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CCSS.3.NF.A.3B

CCSS.4.NF.A.1

What is the result of multiplying the numerator and denominator of 1/2 by 5?

• 2/10

• 5/25

• 10/20

• 5/10

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CCSS.3.NF.A.3B

CCSS.4.NF.A.1

What is the equivalent fraction of 3/5 when both the numerator and denominator are multiplied by 6?

• 18/30

• 12/20

• 9/15

• 6/10

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CCSS.3.NF.A.3B

CCSS.4.NF.A.1

How can we simplify the fraction 3/18 to its simplest form?

• By adding 3 to both

• By subtracting 3 from both

• By dividing both by 3

• By multiplying both by 3

What is the first step in simplifying a fraction to its simplest form?

• Multiply by the largest number possible.

• Add the numerator and denominator.

• Divide by a common factor.

• Subtract the numerator from the denominator.

After dividing 16/24 by 2, what is the next divisor that can simplify the fraction further?

• 2

• 3

• 5

• 4

What is the simplest form of the fraction 16/24?

• 8/12

• 1/2

• 4/6

• 2/3

What indicates that a fraction is in its simplest form?

• When it can be multiplied by any number.

• When its numerator is larger than the denominator.

• When it cannot be simplified further by the same operation.

• When it can be divided by 2.