Simplify and Solve Complex 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, cancel out any common factors, and rewrite the fraction.

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What is the first step in simplifying a complex algebraic fraction?

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The first step is to find a common denominator for the fractions involved in the numerator and the denominator.

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What is a common denominator?

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A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be combined or compared.

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What does it mean to factor an expression?

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Factoring an expression means rewriting it as a product of its factors, which can simplify calculations and reveal roots.