Ratio Calculator

Simplify two quantities into their smallest whole-number ratio. Enter your own values below to see simplified ratio and check the method behind it.

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Your inputs

Change the example values to match your situation.

Your result

Let’s work it out.

Fill in your inputs and select Calculate.
Your result and breakdown will appear here.

How this calculator works

Divide both quantities by their greatest common divisor.

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What is Ratio Calculator?

Ratio Calculator helps you simplify two quantities into their smallest whole-number ratio.

The main result is simplified ratio. The formula, example and assumptions below explain how to interpret it.

How to use Ratio Calculator

Use the example to get familiar with the form, then enter your own figures. Any rates in the example are illustrative. Check the field labels and units before calculating.

  1. Gather first quantity and second quantity. Use values from the same situation or reporting period.
  2. Replace the example first quantity with your own value, then complete the other fields. Check the displayed units.
  3. Select Calculate and read simplified ratio. Change one input and calculate again to compare a second scenario. Reset restores the original example.
  • Enter first quantity, at least 0. Use a whole number.
  • Enter second quantity, at least 0. Use a whole number.

Ratio Calculator: a worked example

With the inputs below, the result is 2:3 (simplified ratio). Follow the example, then replace these illustrative values with your own.

Example inputs and output
Input or outputExample value
First quantity12
Second quantity18
Simplified ratio2:3

Understanding the Ratio result

The main output is simplified ratio. It applies to the inputs and operation you selected.

Displayed results use a readable number of decimal places. When checking a result by hand, keep extra precision until the last step. To compare scenarios, change one input at a time and keep the others fixed.

Ratio Calculator: assumptions and common mistakes

A useful estimate starts with the right inputs. Check the following assumptions and limits before applying the result to your situation.

  • Check the base value, sample definition and chosen operation. Display rounding should come after the calculation.

For wider guidance, visit NIST statistical handbook. The formula and scope of this specific tool are stated on this page.

Ratio Calculator FAQs

What does Ratio Calculator calculate?

Ratio Calculator helps you simplify two quantities into their smallest whole-number ratio. Its main output is simplified ratio.

What inputs do I need for Ratio Calculator?

You need first quantity and second quantity. Use the field labels and units to match your figures to the formula.

Which formula does Ratio Calculator use?

Divide both quantities by their greatest common divisor.

What is a worked example for Ratio Calculator?

Example inputs: First quantity: 12; Second quantity: 18. The result is 2:3 (simplified ratio).

How should I enter first quantity?

Enter first quantity, at least 0. Use a whole number.

How do I choose second quantity?

Enter second quantity, at least 0. Use a whole number. The example uses 18; replace it if your circumstances differ.

How should I read simplified ratio?

The main output is simplified ratio. It applies to the inputs and operation you selected.

Why might my Ratio Calculator result differ from my records?

Check the base value, sample definition and chosen operation. Display rounding should come after the calculation. Differences in entered values, units or rounding can also change the comparison.

Can I compare two scenarios in Ratio Calculator?

Yes. Note your first simplified ratio, change first quantity or another input, and select Calculate again. Editing a field clears the old result so it is not mistaken for a new calculation.

Is Ratio Calculator free, and where are my inputs calculated?

This calculator is free to use without signing in. Its formula runs in your browser; calculator inputs are not sent to a calculation API. The inputs reset to the example values when you reset the form or start a fresh page.