##### Jessika Richter

(Lund - Sweden)<p>The short and sweet: I have been a passionate teacher since 2001. I first worked with the National Park Service in Washington (state), then moved to Australia where I completed my DipEd at the University of Melbourne and then taught at Hailebury ...

## Lesson 39: Equations with Algebraic Fractions

** Description:**The lesson begins with using the lcd to clear the fractions in the equation, and then a review of proportions follows to motivate the "shortcut" of cross multiplication for equations containing only a fraction on each side of the equation. The possible existence of extraneous solutions and solving the equations graphically is discussed before application problems are presented. The lesson concludes with exercises in manipulating formulas.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- College & Beyond

**Instructional Component Type(s):**- Curriculum: Lesson Plan

- From: San Diego Area Knowledge Exchange for Developmental Math (SAKE)
- Contributed By: SAKE Owner SAKE Owner

The lesson begins with using the lcd to clear the fractions in the equation, and then a review of proportions follows to motivate the "shortcut" of cross multiplication for equations containing only a fraction on each side of the equation. The possible existence of extraneous solutions and solving the equations graphically is discussed before application problems are presented. The lesson concludes with exercises in manipulating formulas.