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A rational expression is a fraction in which either the numerator, or the denominator, or both the numerator and the denominator are algebraic expressions.

To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. In other words, when you change the operation from ÷ to ×, you need to change the second fraction to its reciprocal by reversing the numerator and the denominator.

Similarly, when we divide rational expressions, we “flip” the second expression and then we factor, cancel and then multiply the two expressions.

* Example: *

Simplify the following expressions:

* Solution: *

This video shows how to divide two rational expressions containing binomials.

This video shows how to divide two rational expressions containing quadratic trinomials.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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