Ratio Formula:
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Definition: This calculator computes the simplified ratio between two mixed numbers (numbers with both whole and fractional parts).
Purpose: It helps convert mixed numbers into their simplest ratio form, useful in recipes, construction mixes, and other proportional calculations.
The calculator uses the formula:
Where:
Explanation: The calculator converts mixed numbers to improper fractions, calculates their ratio, and simplifies it to lowest terms.
Details: Accurate ratio calculation ensures proper proportions in mixtures, recipes, and other applications where precise ratios are critical.
Tips: Enter the whole and fractional parts for both numbers. All values must be ≥ 0. The calculator will output the simplified ratio.
Q1: Can I use decimals for the fractional part?
A: Yes, the calculator accepts decimal values for the fractional parts (e.g., 0.5 for 1/2).
Q2: What if one number doesn't have a fractional part?
A: Simply enter 0 for the fractional part of that number.
Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of both numbers and divides them by it to simplify the ratio.
Q4: Can I use this for more than two numbers?
A: This calculator is designed for two-number ratios. For more numbers, you would need to calculate pairwise ratios.
Q5: What if I get very large numbers in the ratio?
A: This means your inputs don't simplify to a small whole number ratio. The result is still mathematically correct.