Rational equations are equations that involve rational expressions. Just like any other algebraic equation, the goal of solving rational equations is to isolate the variable and find its value. Let's go through a step-by-step procedure to solve rational equations.

Step 1: Find the common denominator for all the fractions present in the equation.

Step 2: Multiply both sides of the equation by the common denominator to eliminate the denominators. This step helps in simplifying the equation by removing fractions.

Step 3: Simplify the resulting equation. Combine like terms and perform any necessary algebraic manipulations.

Step 4: Solve the resulting equation. Isolate the variable by performing inverse operations as necessary.

For example, let's solve the rational equation: (x + 1)/(x - 2) = 2/3.

Step 1: The common denominator is (x - 2).

Step 2: Multiply both sides by (x - 2) to get (x + 1) = (2/3)(x - 2).

Step 3: Expanding, we have x + 1 = (2/3)x - 4/3.

Step 4: Solving for x gives x = -3.

It is important to check the solution by substituting it back into the original equation to ensure it satisfies the equation.

Remember, practice is key to mastering solving rational equations!

Cheer up, you're on your way to becoming a rational equation-solving pro!