Algebraic fractions look incredibly difficult at first, and can seem daunting to tackle for the untrained student. With a mixture of variables, numbers, and even exponents, it is hard to know where to begin. Luckily however, the same rules needed to simplify regular fractions, like 15/25, still apply to algebraic fractions.
To simplify algebraic fractions, start by factoring out as many numbers as you can for the numerator, which is the top part of the fraction. Next, find a common factor in the denominator, which is the bottom part of the fraction, by looking for a number that can divide into both parts. Then, take any terms that are in both the numerator and the denominator and remove them. When there are no more common factors in the top or the bottom, the fraction is simplified.
Learning how to simplify algebraic expressions is a key part of mastering basic algebra and an extremely valuable tool for all mathematicians to have under their belt. Simplification allows a mathematician to change a complex, long, and/or awkward expression into a simpler or more convenient one that's equivalent. Basic simplification skills are fairly easy to learn - even for the math-averse. By following a few simple steps it is possible to simplify many of the most common types of algebraic expressions without any sort of special mathematical knowledge at all.
To simplify algebraic expressions, start by identifying the like terms, which are terms that have the same variables and exponents. Then, combine the like terms by adding them together to get the simplified expression. You can also simplify the expression further by finding the greatest common factor and then dividing all of the terms in the expression by that number. After you've done that, put the expression in parentheses with the greatest common factor on the outside.
