Algebra
Rational Equation Solver
Solve equations containing fractions with variables. Solve rational equations by finding the least common denominator, eliminating fractions, and checking for extraneous solutions.
Examples:
Formula Reference
Linear Equation
ax + b = c → x = (c−b)/a
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Discriminant
Δ = b² − 4ac
Vertex Form
y = a(x−h)² + k
Share & Embed
Share your exact result or embed this tool.
Solution Methodology
01
Find Restricted Values
Identify values of the variable that make any denominator zero.
02
Multiply by LCD
Find the Least Common Denominator and multiply the entire equation by it.
03
Solve and Verify
Solve the cleared equation and eliminate any extraneous solutions.
Common Questions
How do you solve a rational equation?
First, find the common denominator for all fractions. Multiply every term in the equation by this denominator to eliminate all fractions. Solve the resulting equation, but always check your final answers to ensure they don't make any original denominator equal to zero.
What is an extraneous solution?
An extraneous solution is a number obtained from solving the modified equation that is not a valid solution to the original equation because it causes division by zero.