Concept

Requirement to Multiply Every Term by the LCD

When solving an equation by clearing fractions or decimals, it is critical to multiply both sides of the equation by the least common denominator (LCD). Because of the Distributive Property, this means that every single term in the equation must be multiplied by the LCD, including any terms that are integers and do not contain a fraction. Failing to multiply every term by the LCD alters the underlying equality and will lead to an incorrect solution.

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Updated 2026-05-02

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