Complex Fraction Calculator
Simplify a complex (compound) fraction — a fraction divided by another fraction — to lowest terms using (a/b) ÷ (c/d) = ad/bc.
Inputs explained
- Top fraction numerator (a) — Numerator of the fraction on top.
- Top fraction denominator (b) — Denominator of the fraction on top. Cannot be zero.
- Bottom fraction numerator (c) — Numerator of the fraction on the bottom. Cannot be zero (you would be dividing by zero).
- Bottom fraction denominator (d) — Denominator of the fraction on the bottom. 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: (3/4) ÷ (2/5) = 15/8 = 1.875.
Frequently asked questions
Why does dividing by a fraction turn into multiplying by its flip? Dividing by c/d is mathematically the same as multiplying by its reciprocal d/c, which is why (a/b) ÷ (c/d) simplifies to (a×d)/(b×c) — the calculator applies this 'invert and multiply' rule directly.
What happens if the bottom fraction's numerator is zero? The result is undefined, since dividing by a fraction with a zero numerator is equivalent to dividing by zero — the calculator cannot return a valid simplified fraction in that case.
Is the Complex Fraction Calculator 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: Top fraction numerator (a), Top fraction denominator (b), Bottom fraction numerator (c), Bottom fraction denominator (d). 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 Complex Fraction Calculator is processed entirely in your browser. Nothing is uploaded, stored or shared — your data stays on your device.