Math · Algebra

Rational Expressions Calculator

Simplify and operate on rational expressions (polynomial fractions) with step-by-step factoring, cancelled terms and excluded values.

Numerator of expression 1 (e.g. x^2 + 5x + 6)

Denominator of expression 1 (e.g. x^2 + 3x + 2)

Numerator of expression 2

Denominator of expression 2

Simplified expression

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Simplification: factor numerator and denominator, cancel common factors.
Multiplication: (a/b) × (c/d) = ac/bd Division: (a/b) ÷ (c/d) = ad/bc
Addition: a/b + c/d = (ad + bc)/bd (LCD preferred). Excluded values: x where any denominator = 0.

Factor & cancel

Quadratic and difference-of-squares factoring supported.

Five operations

Simplify, add, subtract, multiply and divide.

Excluded values

All x-values that make a denominator zero are listed.

Step-by-step

See each factoring and cancellation step in order.

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