1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of expressing a decimal number as a fraction (a ratio of two integers). This is useful in many mathematical and real-world applications where fractions are preferred over decimal representations.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( d \) — Decimal value (unitless)
• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)

Explanation: The calculator uses a continued fraction algorithm to find the simplest fraction that approximates the decimal value within a specified tolerance.

3. Importance of Fraction Conversion

Details: Fractions are often more precise than decimal representations and are preferred in many mathematical operations, engineering applications, and everyday measurements.

4. Using the Calculator

Tips: Enter any decimal value (positive or negative). The calculator will return the simplest fraction representation of that decimal.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum decimal precision supported?
A: The calculator handles up to 4 decimal places with good accuracy, though the algorithm can work with more precise values.

Q2: How does the calculator simplify fractions?
A: It uses a continued fraction algorithm to find the simplest ratio that approximates the decimal within a small tolerance.

Q3: Can it handle repeating decimals?
A: Yes, it can find exact fractional representations for many repeating decimals.

Q4: What if my decimal is very small?
A: The calculator will return the appropriate fraction, though very small decimals may result in large denominators.

Q5: Can I convert fractions back to decimals?
A: Yes, simply divide the numerator by the denominator to get the decimal equivalent.