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Decimal to Fraction Formula:
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Decimal to fraction conversion is the process of expressing a decimal number as a fraction (a numerator divided by a denominator). This is particularly useful in mathematics, engineering, and various practical applications where fractional representation is preferred.
The calculator uses the following formula:
Where:
Explanation: The calculator multiplies the decimal by 10^n (where n is the selected precision) to convert it to an integer fraction, then simplifies the fraction by dividing both numerator and denominator by their greatest common divisor.
Details: Fractional representation is often more precise and meaningful in many mathematical contexts, especially in ratios, proportions, and when working with measurements in certain fields like carpentry or cooking.
Tips: Enter the decimal value and select the desired precision (number of decimal places). The calculator will return the simplest fractional form.
Q1: Why convert decimals to fractions?
A: Fractions can provide exact representations where decimals might be repeating or imprecise. Some calculations and measurements are traditionally done in fractions.
Q2: What's the maximum precision supported?
A: This calculator supports up to 4 decimal places (0.0001). Higher precision would require more advanced computation.
Q3: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number to simplify the fraction.
Q4: What about repeating decimals?
A: This calculator handles terminating decimals. For repeating decimals, a different algorithm would be needed to find the exact fractional representation.
Q5: Can I convert fractions back to decimals?
A: Yes, simply divide the numerator by the denominator to convert back to decimal form.