How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?
When working with fractions using addition and subtraction, it is always necessary to find a common denominator in order to find the correct answer. With rational expressions, such a step is not needed.
Addition and subtraction are the same if the fractions have a common denominator. Multiplication is the same, while division is simply multiplying by the inverse of the second fraction.