### Concept (1)

Solving rational equations is substantially easier with like denominators. When **solving rational equations**, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

### Sample Problems (6)

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Problem 1

How to solve a rational equation by multiplying by the least common denominator.

Problem 2

How to solve a rational equation involving opposite denominators with an extraneous solution.

Problem 3

Solving rational equations that have irrational solutions that can be found using the quadratic formula.

Problem 4

Canceling the denominator as a means of solving rational equations.

Problem 5

Turning sums and differences into proportions to enable cross multiplication.

Problem 6

Solving rational equations using cross multiplication, checking for extraneous solutions