1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of converting a decimal number to an equivalent fraction (a/b) where a is the numerator and b is the denominator. This is useful in many mathematical and real-world applications where fractions are preferred over decimal numbers.

2. How Does the Calculator Work?

The calculator uses the following mathematical process:

Where:

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

Conversion Steps:

1. Multiply the decimal part by 10^n where n is the number of decimal places
2. Find the greatest common divisor (GCD) of numerator and denominator
3. Simplify the fraction by dividing both numerator and denominator by GCD
4. Combine with whole number part if present

3. Importance of Fraction Conversion

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

4. Using the Calculator

Tips: Enter the decimal number and select the desired precision (number of decimal places to consider). The calculator will return the simplest fraction form.

5. Frequently Asked Questions (FAQ)

Q1: Why convert decimals to fractions?
A: Fractions can provide exact representations of numbers that would be repeating decimals, and are often easier to work with in calculations.

Q2: What's the maximum precision supported?
A: This calculator supports up to 6 decimal places of precision.

Q3: How are repeating decimals handled?
A: For repeating decimals, use sufficient precision to capture the pattern, then simplify.

Q4: What if my decimal is negative?
A: Negative decimals are converted to negative fractions with the negative sign applied to the numerator.

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