Simplifying Complex Fractions

The video tutorial explains how to simplify complex fractions using the LCD method. It begins with identifying the least common denominator (LCD) for the fractions involved, then demonstrates multiplying both the numerator and the denominator by the LCD. The process involves using the distributive property and simplifying the resulting expressions. The tutorial concludes with reducing the expression to its lowest terms, highlighting the importance of careful calculation and simplification.

What is the primary goal when simplifying complex fractions using the second method?

• To add all fractions together

• To multiply by the reciprocal

• To find the least common denominator

• To find the greatest common factor

Which of the following is NOT a step in identifying the LCD for a complex fraction?

• Including each unique factor once

• Identifying duplicate factors

• Multiplying all numerators

• Highlighting all denominators

When multiplying the numerator by the LCD, which property is primarily used?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

What is the result of multiplying 3x - 1 by the LCD in the numerator?

• 9x^2 - 27x

• 6x^2 - 24x + 18

• 3x^2 - 27x + 24

• 3x^2 - 3x - 18

What happens to the x + 2 term when multiplying the denominator by the LCD?

• It remains unchanged

• It is multiplied by 3

• It cancels out

• It is added to the numerator

After simplifying the denominator, what is the expression obtained?

• 6x^2 - 24x + 18

• 3x^2 - 27x + 24

• 3x^2 - 27x

• 9x^2 - 27x

What is the first step in reducing the final expression to its lowest terms?

• Multiplying by the reciprocal

• Adding all terms together

• Factoring out common terms

• Finding the difference of squares

Which factor is common in both the numerator and the denominator after simplification?

• x + 2

• x - 8

• x - 1

• x - 3

What is the final simplified form of the complex fraction?

• 3x * (x - 3) / (x - 1) * (x - 8)

• 9x * (x - 1) / (x - 3) * (x - 8)

• 9x * (x - 3) / (x - 1) * (x - 8)

• 3x * (x - 1) / (x - 3) * (x - 8)