Complex Fractions

Complex Fractions

11/12/20

Warm Up!

(Review from Mon & Tues)

Multiple Select

What values of will make this expression undefined?

 $\frac{x^2-16}{x^2-4x-12}$  

• 6

• 4

• -4

• -2

Open Ended

What do we have to do when we are DIVIDING rational expressions?

Multiple Choice

Subtract these rational expressions

• $\frac{-4}{x+2}$

• $\frac{x+2}{-4}$

• $\frac{-4\left(x+3\right)}{\left(x+3\right)\left(x+2\right)}$

• $\frac{x-7}{x^2+4x+3}$

Complex Fractions

• Fractions with other fractions in the numerator and/or denominators

• To simplify, we have to "get rid of" the minor fractions and eliminate any common factors

• We are ultimately multiplying the entire fraction by 1.

Multiple Choice

Simplify the complex fraction in the picture.

• $\frac{x^2-4}{3x-6}$

• $\frac{x+2}{3}$

• $x^2-4$

• $3x-6$

Multiple Choice

Simplify the following complex fraction.

• $\frac{x+3}{x+2}$

• $\frac{x^2+x-6}{x^2-4}$

• $\frac{x+2}{x+3}$

• $\frac{x^2-4}{x^2+x-6}$

Poll

How do you feel about simplifying complex fractions?