Rational Expressions

Adding and Subtracting:

In order to add and subtract fractions you must have a common denominator, well the same concept applies when adding and subtracting fractions with variables in the denominator:

Multiplying and Dividing:

While it is required that you have a common denominator when multiplying or dividing, you don't have to when multiplying fractions.

Simply multiply the numerators together and the denominators together and then cancel out.

Dividing Fractions with Fractions:

You simply flip the bottom fraction upside down and then multiply and cancel out.

x+5 x+5 2x 2(x+5)

---- ----- * = -------

x x x-5 (x-5)

------ =

x-5

----

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