1. What is Decimal to Fraction Conversion?

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

2. How Does the Calculator Work?

The calculator uses the following approach:

The algorithm:

• Starts with numerator = 1 and denominator = 1
• Adjusts numerator and denominator to find closest match
• Uses tolerance of 0.000001 for precision
• Simplifies the resulting fraction using greatest common divisor (GCD)

Explanation: The calculator finds the simplest fraction that represents the decimal value within a small margin of error.

3. Importance of Fraction Conversion

Details: Fractions are often more intuitive than decimals, especially in measurements, ratios, and certain calculations. Many people find fractions easier to understand and work with in practical situations.

4. Using the Calculator

Tips: Enter any decimal number (positive or negative). The calculator will find the closest fractional representation. For repeating decimals, the result will be approximate.

5. Frequently Asked Questions (FAQ)

Q1: Why doesn't the calculator find exact fractions for repeating decimals?
A: The calculator uses a numerical approach with limited precision. For exact fractions of repeating decimals, algebraic methods would be needed.

Q2: What is the maximum denominator the calculator will use?
A: The calculator stops at denominator of 1,000,000 to prevent excessive computation.

Q3: How accurate are the results?
A: Results are accurate to within 0.000001 of the input decimal value.

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

Q5: Why does 0.5 give me 1/2?
A: The calculator simplifies fractions to their lowest terms, so 0.5 is correctly converted to 1/2.