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 notation.

2. How Does the Calculator Work?

The calculator uses the following equation:

Where:

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

Explanation: The calculator can either find an exact fraction representation (using continued fractions) or an approximate representation (rounded to the nearest 1/100).

3. Importance of Fraction Conversion

Details: Fractions are often more intuitive than decimals for representing ratios and proportions. They're commonly used in measurements, recipes, construction, and other practical applications.

4. Using the Calculator

Tips: Enter a decimal number and choose whether you want an exact conversion or an approximate conversion (to the nearest hundredth). The calculator will return the simplest fraction form.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between exact and approximate?
A: Exact conversion finds the precise fraction representation, while approximate rounds to the nearest 1/100 and then simplifies.

Q2: Can all decimals be converted to exact fractions?
A: Only terminating decimals can be exactly converted. Repeating decimals require special notation.

Q3: What's the maximum decimal precision supported?
A: The calculator handles up to 6 decimal places for input.

Q4: How are fractions simplified?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions to their simplest form.

Q5: Can negative decimals be converted?
A: The calculator only accepts non-negative numbers in this version.