1. What is the Fraction Calculator?

The Fraction Calculator Solver performs basic arithmetic operations (addition, subtraction, multiplication, division) on fractions. It provides results in both original and simplified forms.

2. How Does the Calculator Work?

The calculator performs fraction operations using standard mathematical rules:

Where:

• 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: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

Explanation: The calculator automatically simplifies results by dividing numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators (must be integers, denominators cannot be zero). Select the operation. The calculator will show the result in original and simplified forms.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be non-zero. It will not accept zero denominators.

Q2: How are negative fractions handled?
A: Negative signs can be on either numerator or denominator. The calculator will normalize them.

Q3: Does the calculator show decimal equivalents?
A: This version shows only fractional results. Future versions may include decimal conversions.

Q4: What's the maximum size for numerators/denominators?
A: The calculator handles standard integer ranges, but very large numbers may cause overflow.

Q5: Can I enter mixed numbers?
A: This calculator requires proper/improper fractions. Convert mixed numbers to improper fractions first.