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Ratio Calculation:
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A ratio represents the quantitative relationship between two numbers, showing how many times one value contains or is contained within the other. Ratios are fundamental in mathematics, science, engineering, and everyday comparisons.
The calculator uses the ratio formula:
Where:
Explanation: The calculator computes both the decimal ratio value and simplifies the ratio to its smallest whole number form using the greatest common divisor (GCD).
Details: Ratios are essential for comparing quantities, scaling recipes, calculating proportions in chemistry, financial analysis, and understanding relationships between different measurements in various fields.
Tips: Enter both values A and B as positive numbers. The calculator will compute the ratio value (A/B) and provide the simplified ratio form. Values must be greater than 0.
Q1: What is a ratio in simplest terms?
A: A ratio in simplest terms has both numbers reduced to their smallest whole numbers while maintaining the same proportion, using the greatest common divisor.
Q2: Can ratios have decimal values?
A: While simplified ratios typically use whole numbers, the ratio value itself is often expressed as a decimal for precise calculations and comparisons.
Q3: What is the difference between ratio and fraction?
A: A ratio compares two quantities, while a fraction represents a part of a whole. However, ratios can be expressed as fractions and vice versa.
Q4: How do you simplify complex ratios?
A: Find the greatest common divisor (GCD) of both numbers and divide each by the GCD to get the simplified ratio.
Q5: Where are ratios commonly used?
A: Ratios are used in cooking (recipe scaling), finance (debt-to-equity), maps (scale), photography (aspect ratios), and many scientific calculations.