Mastering Fraction Comparison Techniques

This video tutorial from Moomoomath explains how to compare fractions using three shortcuts. The first shortcut is for fractions with the same denominator, where the fraction with the larger numerator is greater. The second shortcut involves subtracting the numerator from the denominator; if the results are the same, the fraction with the larger numerator is greater. The third shortcut uses cross multiplication to determine the larger fraction. The video provides examples to illustrate these methods, making it easier to compare fractions quickly and accurately.

What is the first step in comparing fractions if they have the same denominator?

• Subtract the numerator from the denominator

• Compare the denominators

• Compare the numerators

• Cross-multiply

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CCSS.3.NF.A.3D

If two fractions have the same denominator, which fraction is larger?

• The one with the smaller denominator

• The one with the larger denominator

• The one with the smaller numerator

• The one with the larger numerator

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CCSS.3.NF.A.3D

Which fraction is larger: 3/4 or 1/4?

• 1/4

• Cannot be determined

• 3/4

• They are equal

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CCSS.3.NF.A.3D

What should you do if the denominators are different and subtracting the numerator from the denominator gives the same result?

• Compare the numerators

• Add the numerators

• Cross-multiply

• Compare the denominators

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

If 3/4 and 1/2 have different denominators, which is larger?

• 1/2

• 3/4

• Cannot be determined

• They are equal

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CCSS.4.NF.A.2

When should you use cross-multiplication to compare fractions?

• When the numerators are the same

• When the denominators are the same

• When neither the numerators nor the denominators are the same

• When the fractions are improper

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CCSS.4.NF.A.2

What is the result of cross-multiplying 3/6 and 7/8?

• 42 and 24

• 24 and 42

• 18 and 56

• 21 and 48

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CCSS.7.RP.A.3

What is the result of cross-multiplying 3/7 and 2/3?

• 6 and 21

• 14 and 9

• 9 and 14

• 21 and 6

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CCSS.7.RP.A.3

Which fraction is larger: 15/16 or 7/8?

• Cannot be determined

• 15/16

• They are equal

• 7/8

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CCSS.4.NF.A.2

What is the result of cross-multiplying 3/7 and 2/3?

• 21 and 6

• 9 and 14

• 14 and 9

• 6 and 21

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CCSS.7.RP.A.3