Adding Fractions with Different Denominators

The video tutorial on the Tech Math Channel demonstrates how to add fractions with different denominators quickly, bypassing the traditional method of finding common denominators. It provides step-by-step examples, including 1/4 + 1/3, 2/3 + 3/5, and 3/4 + 3/7, showing how to multiply denominators and cross-multiply numerators to find the sum. The tutorial also includes practice problems and concludes with a preview of subtracting fractions, which will be covered in a future video.

What is the first step in adding fractions with different denominators using the method described in the video?

• Subtract the smaller denominator from the larger one.

• Add the numerators directly.

• Multiply the denominators.

• Find a common denominator.

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In the example 1/4 + 1/3, what is the denominator of the resulting fraction?

• 12

• 7

• 3

• 4

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What is the result of multiplying the top left numerator by the bottom right denominator in the example 1/4 + 1/3?

• 4

• 3

• 1

• 12

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In the example 2/3 + 3/5, what is the initial result before simplification?

• 10/9

• 19/15

• 15/19

• 9/10

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How is the improper fraction 19/15 simplified in the example 2/3 + 3/5?

• 1 and 2/15

• 1 and 4/15

• 1 and 3/15

• 1 and 5/15

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In the example 3/4 + 3/7, what is the simplified form of the result?

• 1 and 3/28

• 1 and 5/28

• 1 and 4/28

• 1 and 6/28

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What is the denominator of the result in the example 3/4 + 3/7 before simplification?

• 28

• 21

• 12

• 33

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In the practice problem 1/4 + 3/5, what is the final result?

• 20/17

• 17/20

• 15/20

• 12/20

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What is the result of the practice problem 2/9 + 1/4?

• 15/36

• 36/17

• 12/36

• 17/36

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What is the main advantage of the method shown in the video for adding fractions?

• It avoids finding common denominators.

• It requires fewer steps.

• It is more accurate.

• It uses subtraction instead of addition.

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CCSS.7.NS.A.1C