1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of converting a decimal number to an equivalent fraction. This is useful in many mathematical and real-world applications where fractional representation is preferred over decimal.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( Decimal \) — The decimal number to convert
• \( n \) — Number of decimal places to consider
• The fraction is then simplified by dividing numerator and denominator by their greatest common divisor (GCD)

Explanation: The decimal is multiplied by 10^n to convert it to an integer numerator, with 10^n as the denominator. The fraction is then simplified.

3. Importance of Fraction Conversion

Details: Fractional representation is often more precise and easier to understand in many contexts like measurements, ratios, and probability calculations.

4. Using the Calculator

Tips: Enter the decimal number and select the desired precision (number of decimal places to consider). Higher precision gives more accurate fractions but may result in larger numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why doesn't my fraction look simplified?
A: The calculator simplifies using GCD, but some fractions may appear complex due to the decimal's precision. Try adjusting the precision value.

Q2: What's the maximum precision supported?
A: The calculator supports up to 6 decimal places for optimal performance and accuracy.

Q3: Why do some decimals give repeating fractions?
A: Some decimals are exact fractions while others (like 0.333...) represent repeating fractions that can only be approximated.

Q4: Can I convert negative decimals?
A: Yes, the calculator handles negative decimals by placing the negative sign on the numerator.

Q5: How accurate is the conversion?
A: The conversion is mathematically exact for the given precision level, though some decimals can't be perfectly represented as fractions.