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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.

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