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Multiplying both sides of an equation by the LCD of all its fractions, so that no fractions remain, is called what?
AClearing the equation of fractions
BSimplifying the equation to lowest terms
CCross-multiplying the equation
DReducing the equation to standard form
Answer & Solution
Correct answer: A. Clearing the equation of fractions
1. The source names this specific process, multiplying by the LCD to remove every fraction, as clearing the equation of fractions.
2. Simplifying to lowest terms describes reducing a single fraction, not removing fractions from an entire equation.
3. Cross-multiplying applies to a single equation of two fractions set equal, and standard form describes how a linear equation's terms are arranged, neither of which is this process.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.5 Solve Equations with Fractions or Decimals_
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