To simplify a rational expression:

Step 1: Factor all denominators as a means to easily determine the LCD.

Step 2: Multiply by the appropriate factors to obtain equivalent terms with a common denominator.

Step 3: Add or subtract the numerators and place the result over the common denominator.

Step 4: Simplify the resulting algebraic fraction.

A more involved example follows:

It is always a good idea to state the restrictions. Remember that the restrictions are the values that produce zero in the denominator.

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Lovely video about addition and subtraction of rational expression.The rational expressions are used in science and mathematics widely.Their addition and subtraction of rational expressions is very easy and their use is immense.

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