7.4 Adding and Subtracting Rational Expressions Worksheet

What is Rational Expression?

A Rational Expression is a fraction that has a numerator and a denominator made up of polynomials. When adding and subtracting rational expressions, it is important to remember that you are dealing with fractions. To perform the operation correctly, you have to cancel out the common factors in the numerator and denominator.

Steps to Add and Subtract Rational Expressions

The steps for adding and subtracting rational expressions are fairly simple. First, identify the common factors in the numerator and denominator of each fraction. Then, cancel out the common factors. Finally, add or subtract the numerators and denominators, and reduce the answer if possible.

Step 1: Identify Common Factors

The first step is to identify common factors in the numerator and denominator of each fraction. This is important because it allows you to cancel out the common factors, which will make the problem easier to solve.

Step 2: Cancel Out Common Factors

Once you have identified the common factors, you can cancel them out. This means that you can divide both the numerator and denominator by the same number. This will simplify the problem and make it easier to add or subtract the numerators and denominators.

Step 3: Add or Subtract Numerators and Denominators

Once you have cancelled out the common factors, you can add or subtract the numerators and denominators. This will give you the answer to the problem. If possible, you should try to reduce the answer to its simplest form.

Conclusion

Adding and subtracting rational expressions can be a tricky task. However, if you follow the steps outlined above, you will be able to solve the problem quickly and accurately. Just remember to identify and cancel out the common factors, and then add or subtract the numerators and denominators. Good luck!