➗ Math

Ratio Calculator

Simplify a ratio and scale it to a new total or term.

Results

Simplified ratio
2:3
Scaled ratio
10 : 15
As a fraction A/B
0.666666666667

📊 Ratio Calculator chart

Proportional breakdown of the result.

What is the Ratio Calculator?

Simplify a ratio and scale it to a new total or term. From percentages and fractions to logarithms and quadratic equations, these math calculators show exact results — using arbitrary-precision integers wherever whole-number answers can get very large.

Ratio Calculator – free online math tool illustration
Ratio Calculator — free, exact and private.

How to use the Ratio Calculator

  1. Enter your first term, your second term, your scale so a equals.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: simplified ratio, scaled ratio, as a fraction a/b.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Divide both terms by their greatest common divisor

Worked example

With first term = 16, second term = 24, scale so a equals = 10, the Ratio Calculator returns simplified ratio: 2:3; scaled ratio: 10 : 15; as a fraction a/b: 0.666666666667.

Tips for better results

  • Use the formula section on each page to check your homework method, not just the answer.
  • For very large factorials, combinations and base conversions we use exact big-integer math.
  • Floating-point results are rounded to 12 significant digits to remove binary noise.

Frequently asked questions

What does the Ratio Calculator do?

Simplify a ratio and scale it to a new total or term.

How is it calculated?

The Ratio Calculator uses this method: Divide both terms by their greatest common divisor.

Can you show an example?

With first term = 16, second term = 24, scale so a equals = 10, the Ratio Calculator returns simplified ratio: 2:3; scaled ratio: 10 : 15; as a fraction a/b: 0.666666666667.

Is the Ratio Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Ratio Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

Related tools

Proportion CalculatorSolve a proportion A/B = C/X for the missing value using cross-multiplication.GCD CalculatorFind the greatest common divisor (GCF/HCF) of two or more whole numbers.LCM CalculatorFind the least common multiple of two or more whole numbers.Square Root CalculatorCalculate the square root of any number, and check whether it is a perfect square.Cube Root CalculatorCalculate the cube root of any positive or negative number.Nth Root CalculatorCalculate the nth root of a number for any index n.Exponent CalculatorRaise a base number to any power, including negative and fractional exponents.Logarithm CalculatorCalculate the logarithm of a number in any base, plus natural log and log base 10.

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