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Easy: Proportions
Multiply both sides by the least common denominator to clear the fractions, or cross-multiply when each side is a single fraction. Then solve the equation that is left. Any answer that makes an original denominator zero is extraneous and must be thrown out.
Solve. Check for extraneous solutions.
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Multiplying by the denominator can introduce a value that makes the original denominator 0. Such a value can't be a solution, so check every answer.
Only when the equation is one fraction equal to one fraction. Otherwise multiply every term by the least common denominator.
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