Complex Fractions

Presentation

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Mathematics

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10th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSA.APR.D.6, HSF-IF.C.7D, HSA.APR.D.7

Standards-aligned

Jacqueline Pfaltz

Used 48+ times

FREE Resource

6 Slides • 6 Questions

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}

-4

-2

Open Ended

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

Type response here

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?

Complex Fractions

11/12/20

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