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

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Solving Equations with fractions and decimals by "Clearing" - Concept

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

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Fractions can make solving much more difficult, so one option to consider is getting rid of all of the fractions in a mathematically valid way before solving. You can multiply everything in the equation (both sides, all terms) by the least common multiple of all of the denominators. If done correctly, you will not be changing the validity of the equation, but will have only integers to work with. Similarly, you could multiply an equation with decimals by a power of ten to have only integers to work with. This is all mathematically valid because of the multiplicative property of equality.

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