Operations with Rationals

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Define a rational expression.

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A rational expression is a fraction where the numerator and the denominator are both polynomials.

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CCSS.HSA.APR.D.7

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What is the first step in simplifying a rational expression?

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The first step is to factor both the numerator and the denominator completely.

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

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What is the least common denominator (LCD) in adding rational expressions?

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The least common denominator is the least common multiple of the denominators of the rational expressions.

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.6

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What is the process for subtracting rational expressions?

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To subtract rational expressions, find a common denominator, rewrite each expression with the common denominator, and then subtract the numerators.

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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What does it mean to divide rational expressions?

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Dividing rational expressions involves multiplying by the reciprocal of the divisor.

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CCSS.HSA.APR.D.6

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CCSS.7.NS.A.2C