LCD - Rational Expressions

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What is the definition of the Least Common Denominator (LCD)?

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The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

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How do you find the LCD of two rational expressions?

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To find the LCD, factor each denominator into its prime factors, then take the highest power of each factor that appears in any of the denominators.

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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What are excluded values in rational expressions?

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Excluded values are the values of the variable that make the denominator zero, as these values are not allowed in the expression.

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CCSS.HSA.APR.D.7

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The excluded values are @@x e 3, -6@@.

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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How do you simplify a rational expression?

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To simplify a rational expression, factor the numerator and denominator and then cancel any common factors.

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CCSS.HSA.APR.D.6

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What is the process to add two rational expressions?

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To add two rational expressions, find the LCD, rewrite each fraction with the LCD, and then combine the numerators.

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CCSS.HSA.APR.D.7

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What is the significance of the LCD in solving rational equations?

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The LCD allows you to eliminate the denominators, making it easier to solve the equation.

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CCSS.HSA.REI.A.2