4.3 Solving Rational Equations

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What is a rational equation?

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A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

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How do you solve a proportion?

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To solve a proportion, cross-multiply the two fractions and set the products equal to each other.

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How do you isolate a variable in a rational equation?

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To isolate a variable, eliminate the fractions by multiplying both sides by the least common denominator (LCD) and then solve for the variable.

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How do you combine fractions with different denominators?

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To combine fractions with different denominators, find the least common denominator, convert each fraction, and then add or subtract the numerators.

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