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Rational Expressions
Lesson 3
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Lesson 3: Rational Equation Setup

Clear denominators and solve accurately.

Rational equations simplify when denominators are cleared. Multiply both sides by the least common denominator before isolating the variable.

Key formula

x+pq=r⇒x=qr−p\frac{x+p}{q}=r\Rightarrow x=qr-p

Worked example

x+34=3⇒x=9\frac{x+3}{4}=3\Rightarrow x=9

Checkpoint

Solve x+28=7\text{Solve }\frac{x+2}{8}=7

Recap

  • - Use LCD to remove fractions.
  • - Keep domain restrictions in mind.
  • - Recheck answers in original rational form.
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