Maintaining Procedural Integrity in Technical Calculations
Suppose you are working as a laboratory assistant and need to combine two rational expressions to determine the total concentration of a chemical mixture. You have just finished the step of rewriting both expressions using their least common denominator (LCD). Before adding the numerators, you notice that one of the fractions can be simplified by canceling a common polynomial factor in its numerator and denominator. Explain why you must avoid simplifying the fraction at this specific stage and identify exactly when in the addition process it is appropriate to simplify the expression.
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Maintaining Procedural Integrity in Technical Calculations
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