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**Solving rational equations** is very easy with the help of the **Rational Equation Calculator**. You just need to enter the equation with rational expressions into the calculator and press the Calculate button.

This calculator is an excellent tool for learning how to solve rational equations because it generates detailed step-by-step solutions.

In the next section we explain what rational equations are and how to solve them with examples.

Rational equations are all those equations that involve rational expressions. Or put in other words, a rational equation is an equation with at least one fraction.

Here is an example of a rational equation:

Rational equations can be used to model real-world situations where the relationship between two quantities is not a straight line, but rather a curve. For example, a rational equation might be used to model the relationship between the distance traveled and the time taken for a car traveling at a constant speed.

Here are the steps to take to solve rational equations:

- Determine if there is any value of the variable that would cause any denominator to be zero.
- The next step is to determine the lowest common denominator of all the fractions in the equation.
- Then in order to eliminate the denominators, we multiply both sides of the equation by the lowest common denominator.
- Finally we solve the resulting equation and verify the solution. If any of the values from step 1 are found in the solution, you should remove them from the solution.

To show you how to apply these steps, we present a series of examples solved step by step. All the examples that we will present to you below were solved with the Rational Equation Calculator.

Example 01: 1*x* = 1*x*^{2}−4*x* − 1*x*−4

Multiply all terms by x(x-4) and cancel:

Check if the solution satisfies the equation

Example 02: *x*+3*x*^{2}−5 = 18

Step 1: Multiply both sides by x^2-5.

For this equation: a=-0.125, b=1, c=3.625

Check if the solution satisfies the equation

We present a worksheet for you to practice with the help of the Rational Equations calculator.