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Mixed Number Ratio Calculator

Ratio Formula:

\[ \text{Ratio} = \frac{\text{whole1} + \text{fraction1}}{\text{whole2} + \text{fraction2}} \text{ (simplified)} \]

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1. What is a Mixed Number Ratio Calculator?

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.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Ratio} = \frac{\text{whole1} + \text{fraction1}}{\text{whole2} + \text{fraction2}} \text{ (simplified)} \]

Where:

Explanation: The calculator converts mixed numbers to improper fractions, calculates their ratio, and simplifies it to lowest terms.

3. Importance of Ratio Calculation

Details: Accurate ratio calculation ensures proper proportions in mixtures, recipes, and other applications where precise ratios are critical.

4. Using the Calculator

Tips: Enter the whole and fractional parts for both numbers. All values must be ≥ 0. The calculator will output the simplified ratio.

5. Frequently Asked Questions (FAQ)

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.

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