Understanding Equivalent Fractions

The video tutorial explains how to compare fractions by finding equivalent fractions. It demonstrates this process through several examples, including comparing three-fourths with two-thirds, six-sevenths with one-third, one-tenth with one-ninth, and two-thirds with five-sixths. The method involves multiplying each fraction by the other's denominator to find equivalent fractions with a common denominator, allowing for easy comparison.

What is the first step in comparing fractions using equivalent fractions?

• Subtract the smaller fraction from the larger one.

• Multiply each fraction by the other's denominator.

• Divide each fraction by the other's numerator.

• Add the fractions together.

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When comparing three-fourths and two-thirds, what is the equivalent fraction of three-fourths?

• 10/12

• 6/12

• 8/12

• 9/12

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CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

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In the comparison of six-sevenths and one-third, what is the equivalent fraction of one-third?

• 7/21

• 9/21

• 6/21

• 18/21

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CCSS.4.NF.A.2

Which fraction is greater: six-sevenths or one-third?

• They are equal

• Cannot be determined

• One-third

• Six-sevenths

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What is the equivalent fraction of one-tenth when comparing it to one-ninth?

• 8/90

• 11/90

• 10/90

• 9/90

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Which fraction is smaller: one-tenth or one-ninth?

• One-ninth

• One-tenth

• Cannot be determined

• They are equal

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CCSS.4.NF.A.2

In the comparison of two-thirds and five-sixths, what is the equivalent fraction of two-thirds?

• 12/18

• 15/18

• 10/18

• 14/18

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CCSS.4.NF.A.2

Which fraction is greater: two-thirds or five-sixths?

• Cannot be determined

• Five-sixths

• Two-thirds

• They are equal

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CCSS.3.NF.A.3B

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What is the equivalent fraction of five-sixths when comparing it to two-thirds?

• 10/18

• 15/18

• 12/18

• 14/18

What is the purpose of finding equivalent fractions when comparing two fractions?

• To subtract one fraction from the other.

• To divide the fractions by each other.

• To make the denominators the same for easy comparison.

• To add the fractions together.