How to Use Ratio Calculator
The Ratio Calculator offers three modes to handle the most common ratio problems. Select the mode that matches your task, enter the values, and the Ratio Calculator delivers the answer instantly.
- Simplify — Enter values A and B. The Ratio Calculator reduces A:B to its simplest form by dividing both numbers by their greatest common divisor.
- Solve for X — Enter A, B, and C for the equation A:B = C:X. The Ratio Calculator solves for the unknown X using cross-multiplication.
- Distribute — Enter a total and a ratio A:B. The Ratio Calculator splits the total proportionally and shows each share.
Switch between modes at any time. The Ratio Calculator updates in real time as you type, so results appear without pressing a button.
Formula & Theory — Ratio Calculator
The Ratio Calculator implements three related mathematical operations:
Simplifying a Ratio
GCD = greatest common divisor of A and B
Simplified ratio = (A ÷ GCD) : (B ÷ GCD)
| Symbol | Meaning |
|---|---|
| A, B | The original ratio values |
| GCD | Greatest common divisor |
Solving a Proportion (A:B = C:X)
Cross-multiplication converts the proportion into a simple equation:
A × X = B × C
X = (B × C) / A
Distributing a Total by Ratio
Share A = Total × A / (A + B)
Share B = Total × B / (A + B)
The Ratio Calculator applies each formula automatically depending on the selected mode. All operations are performed in your browser without rounding errors from server round-trips.
Use Cases for Ratio Calculator
The Ratio Calculator is a practical everyday tool across many domains:
- Mathematics & Education — Simplify ratios and solve proportion exercises quickly, or verify textbook answers with the Ratio Calculator.
- Design & Image Scaling — Convert pixel dimensions (e.g., 1920:1080) to a simplified aspect ratio such as 16:9 in one click.
- Cooking & Recipes — Scale ingredient quantities up or down by a fixed ratio to serve a different number of people.
- Business & Finance — Divide profits, costs, or resources among partners according to an agreed ratio using the Ratio Calculator.
- Map & Blueprint Reading — Solve scale proportion problems, for example finding the real distance when the map scale is A:B and the measured distance is C.
- Mixing & Formulation — Calculate precise component amounts for paint mixing, chemical solutions, or concrete formulations based on a target ratio.
From classroom exercises to professional workflows, the Ratio Calculator simplifies and solves ratio problems accurately and instantly.