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## 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.

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**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.