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Simplifying Rational Functions with Factoring and GCFs - Problem 14

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

A complex fraction, also called a double fraction, is two or more fractions stacked inside each other. To make things even uglier, here we have a sum or difference of fractions embedded in a complex fraction. You could find common denominators a few times and multiply by reciprocals, but here we look at a shortcut for "clearing" the denominators: multiply top and bottom by the least common denominator of all fractions. This is mathematically valid because you're really just multiplying by a clever form of one, but the fractions will turn into integers.

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