1. What is Fraction Reduction?

Fraction reduction simplifies a fraction to its lowest terms by dividing both 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 GCD method:

Where:

• GCD — Greatest Common Divisor of numerator and denominator
• Numerator — Top number of the fraction
• Denominator — Bottom number of the fraction

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

3. Importance of Reduced Fractions

Details: Reduced fractions are easier to work with in calculations and comparisons. They represent the simplest form of a ratio or proportion.

4. Using the Calculator

Tips: Enter positive integers for both numerator and denominator. The calculator will find their GCD and reduce the fraction to lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is already in lowest terms?
A: The calculator will return the same fraction with GCD = 1.

Q2: Can this handle improper fractions?
A: Yes, it works for both proper (numerator < denominator) and improper fractions.

Q3: What's the largest number this can handle?
A: It's limited by PHP's integer size, typically up to 2 billion for 32-bit systems.

Q4: How is the GCD calculated?
A: Using the Euclidean algorithm, an efficient method for finding GCD.

Q5: Can this calculator simplify mixed numbers?
A: No, it only simplifies proper/improper fractions. Convert mixed numbers to improper fractions first.