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Ratio Calculator

Simplify ratios and find equivalent ratios

12 : 8
:

Online Ratio Calculator – How to Simplify Ratios

A ratio is a mathematical way to compare two or more quantities. It is expressed using a colon, like A : B, showing how much of one value exists compared to another. For example, if a recipe uses 2 cups of sugar and 3 cups of flour, the ratio is 2 : 3. This online ratio calculator helps you simplify ratios, find equivalent ratios, and understand their applications in everyday life.

Why Simplify a Ratio?

Simplifying a ratio means reducing it to its smallest whole numbers without changing its meaning. Simplified ratios are easier to compare, understand, and apply in calculations like recipes, maps, construction, and mixtures.

Example: 12 : 8 simplifies to 3 : 2

By simplifying ratios, you can quickly identify proportional relationships and scale quantities up or down accurately, whether in cooking, finance, engineering, or education.

How This Online Ratio Calculator Works

  • Automatically converts decimals into whole numbers if required.
  • Uses the Greatest Common Divisor (GCD) to reduce numbers.
  • Displays decimal and percentage equivalents for easy understanding.
  • Provides step-by-step calculation details for clarity.
  • Shows multiple equivalent ratios, such as ×2, ×3, ×5, to visualize scaling.

Examples of Common Ratios

Speed

60 km : 1 hour

Mixture

1 : 4 (syrup : water)

Maps

1 : 50,000 scale

Where Ratios Are Used

Ratios are widely used in cooking, finance, engineering, construction, design, photography scaling, school mathematics, and business analysis. Understanding ratios allows you to make accurate comparisons, scale quantities, and solve real-life problems efficiently.

Use this online ratio calculator to simplify any ratio, check equivalent ratios, and learn how ratios apply in practical scenarios. Whether you’re a student, engineer, or chef, mastering ratios can improve precision and understanding in your calculations.

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