1. What is a Fraction Calculator?

The Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) with fractions. It simplifies the result to its lowest terms automatically.

2. How Does the Calculator Work?

The calculator uses standard fraction operations:

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 first performs the operation, then simplifies the result by dividing numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics, science, engineering, and everyday measurements. Accurate fraction calculations are essential for precise computations.

4. Using the Calculator

Tips: Enter numerators and denominators as whole numbers (denominators must be positive). Select the operation and click calculate. The result will be simplified automatically.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. Division by zero is undefined.

Q2: How are negative fractions handled?
A: Negative signs should be placed on the numerator. The denominator must always be positive.

Q3: Does the calculator show mixed numbers?
A: No, results are shown as simplified improper fractions or whole numbers.

Q4: What's the maximum number size?
A: The calculator can handle typical integer sizes, but extremely large numbers may cause issues.

Q5: Can I use decimals?
A: No, this calculator only works with whole number numerators and denominators.