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Ratio To Fraction Calculator

Fraction Formula:

\[ \text{Fraction} = \frac{\text{Part}}{\text{Whole}} \]

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1. What is a Ratio To Fraction Calculator?

Definition: This calculator converts a ratio (part-to-whole relationship) into its fractional representation.

Purpose: It helps in mathematics, engineering, and everyday calculations where ratios need to be expressed as fractions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Fraction} = \frac{\text{Part}}{\text{Whole}} \]

Where:

Explanation: The calculator divides the part by the whole to get the decimal value, then simplifies this to its fractional form when possible.

3. Importance of Ratio to Fraction Conversion

Details: Converting ratios to fractions is essential for precise calculations, probability expressions, and when working with proportions in various fields.

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers, whole cannot be zero). The calculator will display both the simplified fraction and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ratio and fraction?
A: A ratio compares two quantities, while a fraction represents a part of a whole. All fractions are ratios but not all ratios are fractions.

Q2: How does the calculator simplify fractions?
A: It finds the greatest common divisor (GCD) of numerator and denominator and divides both by this number.

Q3: What if my ratio has more than two numbers?
A: This calculator handles part-to-whole ratios. For multi-part ratios, you'd need to specify which part you're comparing to the whole.

Q4: Can I enter decimal numbers?
A: Yes, the calculator accepts decimal inputs for both part and whole values.

Q5: Why do I get a decimal result even when I enter whole numbers?
A: The calculator shows both the fractional form (when simplifiable) and the decimal equivalent for precision.

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