1. What is Fraction Simplification?

Fraction simplification is the process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD). This creates an equivalent fraction with the smallest possible whole numbers.

2. How Does the Calculator Work?

The calculator uses the following process:

Where:

• GCD is calculated using the Euclidean algorithm
• Numerator and denominator must be positive integers

Explanation: The calculator finds the largest number that divides both numerator and denominator exactly, then divides both by this number.

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to work with in calculations, comparisons, and real-world applications. They represent the same value in the most reduced form.

4. Using the Calculator

Tips: Enter positive integers for both numerator and denominator. The calculator will display the simplified fraction and the GCD used.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is already in simplest form?
A: The calculator will return the same fraction and show a GCD of 1.

Q2: Can I simplify improper fractions?
A: Yes, the calculator works with both proper and improper fractions.

Q3: What about mixed numbers?
A: Convert mixed numbers to improper fractions first before simplifying.

Q4: What's the largest number this can handle?
A: The calculator can handle very large numbers, limited only by PHP's integer size.

Q5: Why is simplifying fractions important?
A: Simplified fractions are standard in mathematical notation and make subsequent calculations easier.