Fraction Equation Solver
Solve equations with fractions in the standard form (a/b)x + c/d = e/f, returning x as an exact reduced fraction and a decimal.
Inputs explained
- Coefficient numerator a — Numerator of the fraction multiplying x. Cannot be zero.
- Coefficient denominator b — Denominator of the fraction multiplying x. Cannot be zero.
- Constant numerator c — Numerator of the constant fraction on the left side.
- Constant denominator d — Denominator of the constant fraction. Cannot be zero.
- Right side numerator e — Numerator of the fraction on the right side.
- Right side denominator f — Denominator of the fraction on the right side. Cannot be zero.
How to use it
- Fill in the fields above — each input has a hint describing exactly what to enter
- Press Calculate to get your result instantly, right on this page
- Copy the result, save the tool to favorites, or share and embed it anywhere
Understanding the result
Example: For (1/2)x + 1/3 = 5/6, x = 1.
Frequently asked questions
Why does the answer come out as a fraction instead of just a decimal? Because all the inputs are fractions, the solver keeps the arithmetic in exact fraction form throughout (clearing denominators algebraically) so the result is precise, then also shows the decimal equivalent for convenience.
What happens if the coefficient fraction a/b equals zero? If a is zero, the x term vanishes entirely, so the equation reduces to a constant comparison (c/d versus e/f) — meaning it either has no solution or is true for all x, rather than a single value of x.
Is the Fraction Equation Solver free to use? Yes — it is completely free, with no sign-up, no download and no usage limits. You can use it as often as you need.
Is my data private? Yes. The calculation runs entirely in your browser — the values you enter are never sent to our servers, stored or shared with anyone.
What information do I need? Just the following: Coefficient numerator a, Coefficient denominator b, Constant numerator c, Constant denominator d, Right side numerator e, Right side denominator f. Each field includes a hint explaining exactly what to enter.
Can I use it on my phone? Yes — the tool is fully responsive and works on any device, and the same calculator is available in the EasyWorkCalcs mobile app.
Privacy
Everything you enter into the Fraction Equation Solver is processed entirely in your browser. Nothing is uploaded, stored or shared — your data stays on your device.