Ratio Calculator
Calculate and simplify ratios.
Ratio Values
Cannot be zero
Ratio Results
Ratio
3:4
Simplified Ratio
3:4
Percentage
75.00%
Decimal
0.7500
GCD:
1
About This Calculator
The Ratio Calculator helps you calculate and simplify ratios. A ratio compares two quantities and shows their relative sizes. Ratios are often simplified to their lowest terms for easier understanding and comparison.
Enter two values, and the calculator will show the ratio, its simplified form (using greatest common divisor), the percentage relationship, and the decimal equivalent. Ratios are commonly used in mathematics, cooking, mixing solutions, and comparing quantities.
Formula & Calculation Method
Ratio Formulas:
Ratio:
Ratio = A : B
Simplified Ratio:
Simplified = (A ÷ GCD) : (B ÷ GCD)
where GCD = Greatest Common Divisor
Percentage:
Percentage = (A / B) × 100%
Decimal:
Decimal = A / B
Ratios can be simplified by dividing both numbers by their greatest common divisor (GCD). This gives the simplest form of the ratio. For example, 6:9 simplifies to 2:3 by dividing both by 3.
How to Use This Calculator
- Enter Value A: Input the first value in the ratio.
- Enter Value B: Input the second value in the ratio (cannot be zero).
- View Results: See the ratio, simplified ratio, percentage, and decimal.
- Use Simplified: The simplified ratio shows the ratio in its lowest terms.
Frequently Asked Questions
What is a ratio?
A ratio is a comparison of two quantities, expressed as A:B or A/B. It shows how many times one value contains or is contained within the other. For example, a ratio of 3:4 means 3 parts of one thing to 4 parts of another.
How do you simplify a ratio?
To simplify a ratio, divide both numbers by their greatest common divisor (GCD). For example, 8:12 can be simplified to 2:3 by dividing both by 4 (the GCD of 8 and 12).
What is the difference between ratio and percentage?
A ratio compares two quantities (e.g., 3:4), while a percentage expresses one quantity as a fraction of 100 (e.g., 75%). The ratio 3:4 means 3 parts to 4 parts, while 75% means 75 out of 100.
Can ratios have decimals?
Ratios are typically expressed as whole numbers in simplified form. However, the decimal equivalent (A/B) is useful for calculations and comparisons. For example, ratio 3:4 = 0.75 as a decimal.
Expert Reviewed
This calculator was reviewed by NumCalculators Editorial Team, Multi-disciplinary Expert Team