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Solving Linear Equations - Problem 4

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

If you are asked to solve a linear equation that has lots of fractions in it, you could find common denominators and combine terms appropriately but... here we look at a shortcut for getting rid of the fractions. It is called "clearing the denominator" or "fractions busters." In this strategy, you find what would be the least common denominator for ALL terms in the equation (on both sides of the equals) and multiply EVERY term by that LCD over one. What happens is that all fractions turn into integers, and you can solve from there.

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