Our ratio calculator is perfect for cooking conversions, scale drawings, and math homework. Simplify any ratio, find equivalent ratios, or solve proportion problems with detailed step-by-step solutions. Perfect for learning, recipe scaling, and real-world applications. No signup, no ads, just instant accurate results.

Simplify Ratio

a:b = (a÷GCD):(b÷GCD)

Divide both by their GCD

Equivalent Ratio

a:b = (a×n):(b×n)

Multiply both by same number

Proportion

a/b = c/d → a×d = b×c

Cross multiplication

Examples

Simplify 24:36

1GCD(24, 36) = 12

224÷12 = 2

336÷12 = 3

4Simplified: 2:3

Solve 3:4 = x:20

1Cross multiply: 3 × 20 = 4 × x

260 = 4x

3x = 60 ÷ 4 = 15

Frequently Asked Questions

Is this ratio calculator free?

Yes! 100% free with no signup required and no ads.

What is the difference between a ratio and a fraction?

A ratio compares quantities (like 3 boys to 4 girls = 3:4), while a fraction represents a part of a whole (like 3/7 of students are boys).

How do I simplify a ratio?

Find the GCD (Greatest Common Divisor) of both numbers and divide each by the GCD.