Ratio Calculator
Please enter valid numbers (values cannot be zero where required).
What Is a Ratio Calculator?
A ratio calculator either simplifies a ratio to its lowest terms or solves for a missing value in a proportion (two equal ratios). Ratios are used to compare quantities — in recipes, maps, finance, mixing solutions, and more.
Formulas Used
Simplifying a Ratio: Divide both A and B by their greatest common factor (GCF).
Solving a Proportion (A:B = C:X): X = (B × C) ÷ A
How to Use This Calculator
Choose "Simplify a Ratio" to reduce A:B to its simplest form, or "Solve a Proportion" to find a missing value when two ratios are set equal to each other. Enter your numbers and click "Calculate" for an instant result.
Common Uses for Ratios
Ratios are used for scaling recipes up or down, converting map distances to real distances, mixing chemical or paint solutions, splitting expenses fairly, and comparing financial metrics like debt-to-income ratios.
Frequently Asked Questions
What does it mean to simplify a ratio?
Simplifying reduces a ratio to its smallest whole-number form while keeping the same proportion, similar to simplifying a fraction.
What is a proportion?
A proportion is a statement that two ratios are equal, such as 2:3 = 4:6. Solving a proportion means finding an unknown value that keeps both ratios equivalent.
Can ratios include decimals?
Yes, this calculator accepts decimal values in both the simplify and proportion modes.
Is a ratio the same as a fraction?
They're closely related — a ratio A:B can be expressed as the fraction A/B — but ratios are typically used to compare two separate quantities rather than represent a part of a whole.