Simplifying Algebraic Fractions

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What is an algebraic fraction?

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An algebraic fraction is a fraction in which the numerator and/or the denominator are algebraic expressions.

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How do you simplify an algebraic fraction?

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To simplify an algebraic fraction, factor both the numerator and the denominator and then cancel any common factors.

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What does it mean to multiply rational expressions?

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Multiplying rational expressions involves multiplying the numerators together and the denominators together.

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What is a common factor in algebraic fractions?

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A common factor is a factor that appears in both the numerator and the denominator, which can be canceled out.

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What is the importance of factoring in simplifying algebraic fractions?

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Factoring allows you to identify and cancel common factors, making the fraction simpler.

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What is the definition of a rational expression?

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