Ratio Calculator
Simplify a ratio to lowest terms, or divide a total by ratio parts
Simplified: 2 : 3
| Part 1 (2) | 200 |
| Part 2 (3) | 300 |
Frequently Asked Questions
Simplifying a ratio to its lowest terms, or dividing a total quantity according to ratio parts, both rely on the same underlying concept — a ratio expresses a relationship between quantities, not the quantities themselves, which is why the same ratio can correctly describe very different absolute amounts as long as their proportion stays the same.
Why a ratio is about proportion, not absolute size
A ratio simplified to lowest terms (dividing all parts by their greatest common factor) represents the same underlying relationship as any equivalent, unsimplified version — 4:8 and 1:2 describe an identical proportional relationship, just expressed with different absolute numbers. When dividing a total quantity according to ratio parts, the total is split into shares proportional to each part of the ratio — this requires first summing the ratio's parts to get a total number of "shares," then allocating the actual total quantity proportionally across those shares, not just dividing by the number of ratio terms directly.
A worked example
Dividing a total quantity in a 2:3 ratio doesn't mean splitting it into two equal-looking portions labeled "2" and "3" — it means recognizing the ratio has 5 total parts (2+3), calculating what one part is worth by dividing the total by 5, then allocating 2 parts to the first share and 3 parts to the second, producing shares that are proportional to 2:3 but not equal to each other.
How this connects to your other everyday calculations
Ratio-based splitting shares its underlying logic with proportional allocation problems generally — the Bill Split Calculator's uneven-split mode applies a related proportional-division concept to splitting costs based on each person's actual share rather than an equal division.
Common mistakes
Dividing a total quantity by the number of ratio terms (treating a 2:3 ratio as if it meant "divide into 2 equal groups, then into 3 equal groups") rather than by the sum of the ratio's parts is a common conceptual error — the correct method always sums the ratio's parts first to establish the total number of proportional shares, then allocates the actual total according to each part's share of that sum.