Ratio calculator — simplify and scale ratios

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    How ratio simplifying and scaling work

    A ratio expresses how quantities relate to each other. Simplifying finds the smallest whole-number version of that relationship; scaling applies it to a real-world total — useful for mixing ingredients, splitting costs, or dividing resources proportionally.

    Simplifying a ratio

    Simplifying divides every part of the ratio by their greatest common divisor (GCD), so the same proportion is expressed in the smallest possible whole numbers — 8:12 and 2:3 describe the same relationship, but 2:3 is the simplest form. Decimal parts (e.g. 2.5:3.75) are first scaled up to whole numbers before the GCD is applied, then reduced the same way.

    Scaling a ratio to a total

    Scaling shares a real total across the ratio's parts in proportion. Each part's share of the total is its value divided by the sum of all parts, multiplied by the target total — so a 2:3 ratio scaled to 25 gives 10:15, since 2 and 3 parts out of 5 map onto 10 and 15 out of 25. Scaled figures are rounded to 2 decimal places.

    Three-part ratios

    Use "+ Add a third part" for ratios with three components, such as a 2:3:1 concrete mix or a three-way cost split. Both simplifying and scaling work the same way with three parts as with two — the GCD or the proportional share is just calculated across all three values.