Ratio Simplifier

Simplify ratios to lowest terms

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About Ratio Simplifier

A ratio simplifier that reduces any ratio to its simplest form using the greatest common divisor (GCD). Enter two or three numbers and instantly see the simplified ratio, decimal equivalents, percentage distribution, and a visual proportion bar. Handles large numbers, decimals (by scaling), and provides the GCD used. Essential for math students, recipe scaling, mixing formulas, and data analysis.

Ratio Simplifier Features

  • GCD-based simplification
  • Decimal conversion
  • Visual proportions
  • Percentage split
  • 3-term ratios
A ratio like 12:8 can be simplified to 3:2 by dividing both terms by their GCD (4). Simplified ratios are easier to understand and compare. This tool handles any ratio, including those with decimals, large numbers, and three-term ratios.

How to Use

Enter ratio terms:

  • Two-term: e.g., 12:8 → 3:2
  • Three-term: e.g., 6:9:12 → 2:3:4
  • Decimals: Automatically scaled to whole numbers first

How It Works

Find the GCD of all terms, then divide each term by the GCD. For decimals: multiply all terms by 10^n to remove decimal points first, then simplify.

Common Uses

  • Recipe scaling (2:1 flour to sugar)
  • Screen aspect ratios (16:9, 4:3)
  • Mixing ratios (cement, paint, chemicals)
  • Financial ratios (debt-to-equity)

Step-by-Step Instructions

  1. 1Enter the first ratio term.
  2. 2Enter the second (and optional third) term.
  3. 3View the simplified ratio.
  4. 4Check the percentage distribution.
  5. 5See the visual proportion bar.

Ratio Simplifier — Frequently Asked Questions

What is the GCD?+

The Greatest Common Divisor (GCD) is the largest number that divides all terms evenly. For 12 and 8, the GCD is 4. Dividing both by 4 gives the simplified ratio 3:2.

Can I simplify ratios with decimals?+

Yes. The tool multiplies all terms by 10, 100, etc. to eliminate decimals first, then simplifies. For example, 2.5:1.5 → 25:15 → 5:3.

What about three-term ratios?+

Three-term ratios (like 6:9:12) are simplified by finding the GCD of all three terms and dividing each by it. 6:9:12 → GCD=3 → 2:3:4.

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