Ratio Calculator (Simplifier)

FRACTIONS & RATIOS

Simplify a ratio and see it as a decimal and a 1-based scale. Enter the two terms.

Simplified Ratio
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Lowest terms.

Usage Tip

Common screen ratios: 16:9 (widescreen), 4:3 (older), 21:9 (ultrawide). Simplifying shows whether two ratios match.

THE MATH
Simplified ratio = each term ÷ their greatest common factor
Decimal = A ÷ B
A ratio compares two quantities. Dividing both terms by their greatest common factor gives the simplest whole-number form.
16:9 and 1920:1080 are the same ratio.
Whole-number inputs give an exact simplified ratio; decimals are scaled to a 1-based form.
The decimal A/B and a 1:x scaling are also shown.
The second term cannot be zero.
Practical Notes

A ratio compares two quantities, and simplifying it divides both terms by their greatest common factor, so 12 to 18 becomes 2 to 3. The simplified form keeps the same relationship in the smallest whole numbers. The decimal form divides the first term by the second, and the 1-based form scales the ratio so one of the terms equals 1.

Ratios are used for mixing paint, concrete, and fuel, for gear and screen aspect ratios, and for comparing quantities in recipes. A ratio does not tell you the actual amounts, only how they relate. To scale a ratio up, multiply both terms by the same number. The second term cannot be zero when the decimal is calculated.

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.