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Ratio Calculator

Simplify ratios, find equivalent ratios, and scale values instantly with our free Ratio Calculator. Ideal for maths, recipes, construction, engineering, maps, and everyday calculations. Fast, accurate, and easy to use on desktop and mobile devices.

โœ” Simplify ratios โ€ข โœ” Scale recipes & mixtures โ€ข โœ” Accurate results โ€ข โœ” Free online calculator

What is a Ratio Calculator?

A ratio calculator helps compare two values and simplify them into their lowest form. Ratios are used to show the relationship between quantities and are commonly written using a colon, such as 2:3 or 5:1.

This calculator automatically simplifies ratios by finding the greatest common divisor (GCD) of both numbers and reducing them to the smallest possible whole-number ratio.

Whether you're scaling a recipe, comparing financial figures, mixing materials, or solving a maths problem, a ratio calculator can save time and reduce calculation errors.

How Ratios Work

A ratio compares one quantity to another. For example:

Ratios do not necessarily represent percentages. Instead, they show proportional relationships between quantities.

Formula Used

To simplify a ratio, divide both values by their Greatest Common Divisor (GCD).

Formula:

Simplified Ratio = (A รท GCD) : (B รท GCD)

Example:

Step-by-Step Examples

Example 1: Simplifying a Ratio

Example 2: Recipe Scaling

A recipe uses 200g flour and 100g sugar.

This means you need twice as much flour as sugar regardless of batch size.

Example 3: Fuel Mixture

A two-stroke engine requires a 50:1 fuel mixture.

For 5 litres of petrol:

Real-World Uses of Ratios

Ratios are used in many everyday situations:

Understanding ratios can make it easier to compare quantities and make informed decisions.

Ratio vs Percentage

People often confuse ratios and percentages, but they are different.

Ratio Percentage
2:5 40%
1:4 25%
3:4 75%

Ratios compare quantities directly, while percentages compare a value to 100.

Common Mistakes When Working with Ratios

This calculator helps avoid these mistakes by automatically simplifying ratios.

Quick Reference Table

Original Ratio Simplified Ratio
10 : 20 1 : 2
15 : 45 1 : 3
24 : 36 2 : 3
50 : 100 1 : 2
75 : 125 3 : 5
90 : 120 3 : 4
120 : 180 2 : 3

Frequently Asked Questions

What is a ratio?
A ratio compares two quantities and shows their proportional relationship.

Can ratios contain decimals?
Yes. However, ratios are often converted into whole numbers for easier comparison.

Can I use ratios for recipes?
Yes. Ratios are widely used in cooking and baking to scale ingredients accurately.

What is the simplest form of a ratio?
The simplest form is obtained when both numbers can no longer be divided by the same whole number.

Is a ratio the same as a fraction?
No. Ratios compare quantities, while fractions represent part of a whole.

Why simplify ratios?
Simplified ratios are easier to understand, compare, and use in calculations.

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Last Updated: August 2026