Fraction Formula:
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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.
The calculator uses the formula:
Where:
Explanation: The calculator divides the part by the whole to get the decimal value, then simplifies this to its fractional form when possible.
Details: Converting ratios to fractions is essential for precise calculations, probability expressions, and when working with proportions in various fields.
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.
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.