Adding Rational Expressions

These lessons, with videos, examples and step-by-step solutions help Algebra students learn how to add rational expressions.

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What are Rational Expressions?
A rational expression is a fraction in which the numerator and/or the denominator are variable expressions.

How to add or subtract rational expressions with unlike denominators?

  1. Factor all of the denominators.
  2. Determine the least common denominator (LCD) from the factors.
  3. Multiply the numerator and denominator of each fraction by any missing factors to form the LCD.
  4. Add the fractions.
  5. Simplify if possible.

How to add and subtract rational expression with and without like denominators?

How to add and subtraction rational expressions when the denominators are different?

Rational Expressions - Adding with Common Denominator
How to add rational expressions that already have a common denominator, and how to simplify if it is possible to cancel?

Adding or subtracting rational expressions with same denominators

Finding the LCD for rational expressions

Adding rational expressions, different monomial denominator

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