1. What is the Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions with large numbers. It handles big numerators and denominators and provides results in both original and simplified forms.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic rules:

Where operations are performed as:

• Addition: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
• Subtraction: \(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
• Multiplication: \(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
• Division: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

Simplification: The result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Calculation

Details: Accurate fraction calculation is essential in mathematics, engineering, and sciences where precise ratios are needed. The ability to handle large numbers makes this calculator useful for advanced applications.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions, select the operation. All values must be integers, and denominators cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: How large can the numbers be?
A: The calculator can handle very large integers (up to PHP's integer limit), typically ±2 billion.

Q2: What if I get a negative denominator?
A: The calculator will properly handle negative signs, moving them to the numerator if needed.

Q3: Does it show decimal equivalents?
A: This version shows only fractional results. For decimal equivalents, divide numerator by denominator.

Q4: What about mixed numbers?
A: Enter the fractional part only. Convert mixed numbers to improper fractions first.

Q5: How is simplification performed?
A: Using Euclid's algorithm to find the greatest common divisor (GCD) of numerator and denominator.