Which justification best explains why multiplying both sides of a rational equation by the LCD is a valid step when solving rational equations (provided you track restrictions)?

• A. Multiplying by the LCD removes denominators by cancelation and yields an equivalent equation for values not excluded by denominators, but you must record excluded values first
• B. Multiplying by the LCD is a shortcut that allows you to cancel numerators rather than denominators and therefore speeds up computation
• C. Multiplying by the LCD always gives every solution to the equation without the need to check restrictions after solving
• D. Multiplying by the LCD is only permitted if all denominators are linear and cannot be used otherwise

Answer: (A)