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Alpha Teach Yourself Algebra I in 24 Hours by Jane Cook

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Hour 12
Algebraic Fractions: Adding and Subtracting
Multiplying and dividing fractions in basic arithmetic and in algebra involves a lot of factoring. Factoring will also be helpful as you combine fractions with the last two operations—addition and subtraction.

Adding Algebraic Fractions

Let’s begin with an example from arithmetic. You will see that the process used to add simple fractions applies directly to more complex algebraic fractions as well.
 
Consider the following addition problem:
362
Because the denominators are equal, this addition problem could be written as a single fraction, with the numerators summed over the denominator:

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