How do I simplify a ratio?

Find the greatest common divisor (GCD) of all numbers in the ratio, then divide each number by the GCD. For example, 12:8 has GCD of 4, so 12÷4:8÷4 = 3:2.

What's the difference between a ratio and a fraction?

A ratio compares separate quantities (3 apples to 2 oranges = 3:2), while a fraction shows part of a whole (3 apples out of 5 total fruits = 3/5). Ratios can be converted to fractions and vice versa.

How do I solve proportion problems?

Cross multiply to solve proportions. If a:b = c:d, then a×d = b×c. For example, if 3:4 = 9:x, then 3×x = 4×9, so x = 36÷3 = 12.

Can ratios have more than two numbers?

Yes, ratios can compare multiple quantities. For example, a recipe might call for ingredients in the ratio 2:1:3 (flour:sugar:butter). The same principles of simplification and proportion apply.

Ratio Calculator – Simplify and Compare Ratios

Simplify ratios, solve proportions, and find equivalent ratios. Essential for mathematics, cooking, construction, and scale calculations.

Ratio Calculator – Simplify and Compare Ratios

Simplify ratios, solve proportions, and find equivalent ratios. Essential for mathematics, cooking, construction, and scale calculations.

Calculation Type*

Type of ratio calculation

First Value (a)*

First number in the ratio

Second Value (b)*

Second number in the ratio

Third Value (c)

Third value for proportion calculations

Multiplier

Multiplier for equivalent ratios

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Math visualization will appear here

Understanding Ratios and Proportions

A ratio compares two or more quantities, showing their relative sizes. Ratios are used in cooking, construction, finance, and many other fields to maintain proper relationships between different components.

Types of Ratio Calculations

Common ratio operations:

Simplifying: Reducing ratios to lowest terms (12:8 = 3:2)
Proportions: Finding missing values in equal ratios (3:4 = 9:?)
Equivalent ratios: Scaling ratios up or down (1:2 = 5:10)
Part-to-whole: Expressing parts as fractions of the total
Rate calculations: Ratios involving different units (miles per hour)

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your calculation type
Enter your first value (a)
Enter your second value (b)
Enter your third value (c)
Enter your multiplier
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Ratio Calculator – Simplify and Compare Ratios?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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