1. What is Fraction-Decimal Calculator?

This calculator performs multiplication or division between fractions and decimals, providing results in both decimal and fractional forms. It's useful for mathematical calculations in various fields including engineering, science, and education.

2. How Does the Calculator Work?

The calculator performs either of two operations:

Where:

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

Explanation: The calculator first converts the fraction to decimal form, performs the operation, then attempts to convert the result back to a simplified fraction.

3. Importance of Fraction Operations

Details: Understanding fraction-decimal operations is fundamental in mathematics and essential for precise calculations in science, engineering, and financial applications.

4. Using the Calculator

Tips: Enter positive values for numerator, denominator, and decimal. Denominator and decimal cannot be zero. Select either multiplication or division operation.

5. Frequently Asked Questions (FAQ)

Q1: Why convert the result back to fraction?
A: Fractional representation is often more precise and easier to understand in many practical applications.

Q2: How accurate is the fraction conversion?
A: The calculator uses continued fractions to find the best approximation within a tolerance of 1.0E-6.

Q3: Can I use negative numbers?
A: The calculator is designed for positive numbers only to simplify the fraction conversion.

Q4: What if my result is a whole number?
A: The calculator will display it as a whole number in both decimal and fractional result fields.

Q5: Can this handle complex fractions?
A: The calculator handles simple fractions well, but extremely large numbers may affect the fraction conversion accuracy.