Partial Fraction Calculator

Free partial fraction calculator for rational expressions. Enter a fraction like (17x−53)/(x^2−2x−15) to get the partial fraction decomposition with step-by-step explanation and ready-to-copy results.

• 1. Decompose rational functions into a sum of simpler fractions
• 2. Factor the denominator and set up the correct decomposition form
• 3. Solve for constants (A, B, C, …) and show verification

Enter a rational expression in x, then click Solve.

• 1. Type or paste your expression, e.g. (17x-53)/(x^2-2x-15)
• 2. Click "Solve"
• 3. View the solution step by step

(17x-53)/(x^2-2x-15)

(3x+5)/(x*(x+2))

(x^2+1)/(x*(x+1)^2)

(2x^2+3x-1)/((x-1)^2*(x+2))

Partial fraction decomposition rewrites a rational function as a sum of simpler pieces.

• Step 1: Factor the denominator
• Step 2: Make the fraction proper (if needed)
• Step 3: Set up the decomposition form
• Step 4: Solve for constants
• Step 5: Verify the result

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