Exploring Complex Fractions in Algebra II

The video tutorial by Kirk Weiler covers the topic of complex fractions in Common Core Algebra 2. It begins with an introduction to complex fractions, explaining them as fractions within fractions. The tutorial then progresses through exercises that demonstrate how to simplify these fractions, both numerical and those involving variables. The exercises increase in complexity, introducing concepts like factoring denominators and dealing with x squared terms. The key takeaway is the method of multiplying the numerator and denominator by the same quantity to eliminate smaller denominators, simplifying the complex fraction into a single fraction.

What is a complex fraction?

• A fraction with a numerator and denominator

• A fraction that contains other fractions within it

• A fraction that cannot be simplified

• A fraction with only whole numbers

What is the least common denominator of 1/9, 1/18, and 1/3?

• 6

• 9

• 18

• 3

Why is it acceptable to multiply both the numerator and denominator by the same number when simplifying complex fractions?

• It simplifies the fraction to a whole number

• It effectively multiplies the fraction by 1

• It changes the value of the fraction

• It makes the fraction more complex

When simplifying the complex fraction 1/2 - 1/10 divided by 1/5, what is the least common denominator used?

• 5

• 1

• 10

• 2

In the expression 3x + 2 divided by 6x + 28, what can be factored out from the denominator?

• 2

• 3

• 14

• x

What is the simplified form of the complex fraction (2/5 + 2/x) divided by (1/5x - 1/x^2)?

• x + 2

• 2/x

• 2x

• x - 2

What is the least common denominator for the fractions 1/2, 1/x^2, 1/2x, and 1/x^2?

• 2x^2

• x^2

• 2x

• 4x

In the expression x^2 - 4, what are the factors?

• (x - 2)(x + 2)

• (x - 4)(x + 4)

• (x - 1)(x + 1)

• (x - 3)(x + 3)

When simplifying the complex fraction (4/x+2 + 2/x-4) divided by (12x-24), what should you multiply the numerator and denominator by?

• x + 2 and x - 4

• 12x

• x - 4

• x + 2

What is the final simplified form of the complex fraction (x+6)/(x+2)?

• x + 6

• x + 2

• (x + 6)/(x + 2)

• 1