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Algebraic fractions are fractions that contain variables in either the numerator or denominator. These variables can be any letter or symbol that represents an unknown quantity.
To simplify algebraic fractions, factor both the numerator and denominator and then cancel out any common factors. You can also use the rules of fractions, such as multiplying by the reciprocal, to simplify further.
To add or subtract algebraic fractions, first find the common denominator by factoring each fraction and then multiplying the denominators together. Then, convert each fraction to have the common denominator and add or subtract the numerators.
To multiply algebraic fractions, multiply the numerators and denominators separately and then simplify. To divide algebraic fractions, multiply by the reciprocal of the second fraction and then simplify.
Some common mistakes to avoid when working with algebraic fractions include forgetting to simplify, adding when you should be multiplying, and not factoring before multiplying/dividing. It is also important to pay attention to the signs and keep track of negative numbers.
