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Simplify Ratio Calculator

Simplify ratios, solve proportions A : B = C : x, scale ratios by any factor and convert them to fractions, decimals and percentages — with every step shown.

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Result

This page opens the ratio calculator in simplify mode: enter the two sides of your ratio and run it to reduce them to lowest terms. The calculator finds the greatest common divisor of both numbers with the Euclidean algorithm and divides it out, so 25 : 10 becomes 5 : 2 and 48 : 180 becomes 4 : 15.

Decimal inputs are handled exactly: 2.5 : 1 is first multiplied by 10 into 25 : 10 and only then simplified to 5 : 2 — no floating-point rounding is involved at any point. Every transformation is listed as a separate step, which makes the tool as useful for checking homework as for quick everyday math.

Simplified ratios appear everywhere: recipes cut down to fewer servings, gear ratios, image shapes, model scales and financial comparisons. The result card also shows the decimal value of the simplified ratio, so two different ratios are easy to compare at a glance.

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Accepted Formats & Rules

  • Four modes: simplify a ratio, solve a proportion, scale by a factor, and convert a ratio.
  • Decimal inputs are handled exactly by scaling both sides to whole numbers first.
  • Converts any ratio to a simplified fraction, a decimal and a percentage at once.

Key Benefits

✓ Every answer comes with the full step-by-step working, so you can follow the method and check homework.
✓ Exact integer arithmetic under the hood — decimal inputs like 2.5 : 1 are scaled to whole numbers, never rounded.
✓ Runs entirely in your browser: no sign-up, no uploads, instant results on any device.

Use Cases

  • • Simplify a ratio like 25:10 or 2.5:1 to its lowest terms with the GCD steps shown, ready to paste into homework.
  • • Solve a proportion such as 3:4 = 9:x by cross-multiplication to scale a recipe, a map distance or a price exactly.
  • • Convert a ratio to a fraction, decimal and percentage at once to compare test scores, mixes or screen shapes.