Ratio Calculator

Ratios are everywhere in math, cooking and construction.

What this calculator does

Simplify a:b or solve a:b = c:?.

When to use this calculator

Use this calculator whenever mental arithmetic introduces uncertainty — particularly when the result will inform a decision rather than just satisfy curiosity. Even confident mathematicians use calculation tools when precision matters.

Common mistakes

A common mistake is applying the formula in the wrong direction — particularly with percentage and ratio problems, where the part and the whole can be mistakenly swapped. Check which value is the reference (the 'whole') before entering inputs.

Real-world scenarios

A shopper sees two versions of the same product at different prices: one at £14.50 for 400g and another at £11.99 for 300g. Running both price-per-gram calculations reveals the larger pack is 7% cheaper per unit — the kind of comparison that is impossible to do reliably in your head at the shelf.

Frequently asked questions

How do I simplify a ratio?

Divide both numbers by their Greatest Common Divisor (GCD).