Simplifying Complex Fractions

This video tutorial explains how to simplify complex fractions by multiplying the numerator and denominator by a common denominator. It provides step-by-step examples to demonstrate the process, ensuring that all smaller fractions within the larger fraction are cleared. The video concludes with a summary and additional resources for further learning.

What is the first step in simplifying a complex fraction?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Clear away all the smaller fractions within the larger fraction

• Add all the fractions together

When simplifying complex fractions, what should you multiply the top and bottom by?

• The sum of all fractions

• The smallest fraction

• The largest fraction

• The common denominator

In the given problem, what is the common denominator used to simplify the complex fraction?

• x + 5 * x + 4

• x + 4

• x + 5 + x + 4

• x + 5

What happens to the x + 5 factors when multiplying 7 over x + 5 by the common denominator?

• They remain unchanged

• They cancel out

• They double

• They add up

After distributing and combining like terms, what is the simplified form of 2x - 3x?

• x

• -x

• 5x

• 0

What is the result of distributing -3 to x + 5?

• 3x - 15

• -3x + 15

• 3x + 15

• -3x - 15

What is the final step in simplifying the complex fraction in the video?

• Dividing by the common denominator

• Multiplying by another fraction

• Factoring out a negative 1

• Adding all terms together

What is the correct answer choice for the simplified complex fraction in the second problem?

• Choice D

• Choice C

• Choice B

• Choice A

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Where can you find more videos on similar topics?

• In the video thumbnail

• In the comments section

• In the video description

• In the video title