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Which property of equality is shown below?\newlineIf: 53+b=6953 + b = 69\newlineThen: 53+bc=69c53 + \frac{b}{c} = \frac{69}{c}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality

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Q. Which property of equality is shown below?\newlineIf: 53+b=6953 + b = 69\newlineThen: 53+bc=69c53 + \frac{b}{c} = \frac{69}{c}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Analyze Expressions: Analyze the given expressions.\newlineIf: 53+b=6953 + b = 69\newlineThen: 53+bc=69c53 + \frac{b}{c} = \frac{69}{c}\newlineWhat operation is applied to both sides of the equation?\newlineThe operation applied is division by cc.
  2. Apply Division Operation: Apply the operation to both sides of the equation.\newline53+b53 + b is divided by cc to get 53c+bc\frac{53}{c} + \frac{b}{c}.\newline6969 is divided by cc to get 69c\frac{69}{c}.
  3. Identify Property: Identify the property of equality used.\newlineBy dividing both sides of the equation by cc, the equation remains balanced.\newlineThis is the "Division Property of Equality".

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