Understanding Equivalent Fractions

The video tutorial explains the concept of equivalent fractions using visual examples of rectangles divided into different parts. It demonstrates how fractions like 1/2, 2/4, 3/6, 4/8, and 5/10 represent the same value. The tutorial further explains how to find equivalent fractions by multiplying the numerator and denominator by the same number, using examples like 3/4. It also covers the cross-multiplication method to verify if two fractions are equivalent, providing examples to illustrate the process. The video concludes with a summary of key points.

What do equivalent fractions represent?

• The same part of different wholes

• Different parts of the same whole

• The same part of the same whole

• Different parts of different wholes

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Which of the following is an equivalent fraction of 1/2?

• 5/6

• 3/5

• 2/4

• 3/4

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How can you generate an equivalent fraction?

• Multiply the numerator and denominator by different numbers

• Add the same number to the numerator and denominator

• Multiply the numerator and denominator by the same number

• Subtract the same number from the numerator and denominator

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What is the equivalent fraction of 3/4 when multiplied by 5?

• 12/16

• 18/24

• 15/20

• 9/12

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What is the purpose of cross-multiplying two fractions?

• To convert them to decimals

• To determine if they are equivalent

• To find the sum of the fractions

• To simplify the fractions

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If two fractions are equivalent, what will be true about their cross-products?

• One will be greater than the other

• One will be less than the other

• They will be zero

• They will be equal

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Which of the following pairs of fractions are equivalent?

• 3/7 and 6/14

• 4/9 and 8/18

• 2/5 and 4/10

• 5/8 and 10/15

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What is the result of cross-multiplying 4/7 and 8/21?

• Both products are equal

• Both products are different

• One product is zero

• Both products are negative

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What should you remember about cross-multiplying fractions?

• If products are different, fractions are equivalent

• If products are equal, fractions are not equivalent

• If products are different, fractions are the same

• If products are equal, fractions are equivalent

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What is the key takeaway about equivalent fractions?

• They always have different numerators

• They represent different parts of a whole

• They can be verified using cross-multiplication

• They are always improper fractions

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