Rational Expressions Calculator
Add, subtract, multiply, divide, and simplify rational expressions (algebraic fractions) with step-by-step solutions.
First Rational Expression
Second Rational Expression
Try These Examples
Rules for Rational Expressions
Addition/Subtraction
a/b ± c/d = (ad ± bc) / bd
Find LCD, convert fractions, then add/subtract numerators
Multiplication
(a/b) × (c/d) = ac / bd
Multiply numerators together, multiply denominators together
Division
(a/b) ÷ (c/d) = (a/b) × (d/c) = ad / bc
Multiply by the reciprocal of the divisor
Restrictions
Any value that makes the denominator = 0 is excluded from the domain.
Always state restrictions in your final answer!
About Rational Expressions Calculator - Simplify & Solve
Add, subtract, multiply, and divide rational expressions. Simplify algebraic fractions with step-by-step solutions.
Our **Rational Expressions Calculator** performs arithmetic operations on algebraic fractions. Enter your rational expressions and get simplified results with complete step-by-step solutions. For polynomial operations, try our Multiplying Polynomials Calculator.
Rational expressions are fractions with polynomials in the numerator and denominator. Operations require finding common denominators, factoring, and simplifying. Our calculator handles these steps automatically while showing the process.
Master rational expression manipulation—essential for algebra, calculus, and engineering. Learn to find LCDs, add/subtract fractions, multiply/divide, and simplify complex expressions.
Key Features
Why Use This Tool?
Common Use Cases
Algebra: Simplify complex fractions.
Calculus: Partial fraction decomposition.
Physics: Working with formulas as fractions.
Engineering: Transfer function manipulation.
Related Tools
How to Use
Enter numerator and denominator of first fraction
Select operation (+, -, ×, ÷)
Enter second fraction
Click Calculate
View simplified result and steps