Skip to content
Rational Expressions
Lesson 2
0% complete

Lesson 2: 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=−2⇒x=−11\frac{x+3}{4}=-2\Rightarrow x=-11

Checkpoint

Solve x+38=4\text{Solve }\frac{x+3}{8}=4

Recap

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

Track progress: 0/8 completed.