1. What is Fraction Simplification?

Fraction simplification (reducing to lowest terms) means dividing both numerator and denominator by their greatest common divisor (GCD) to create an equivalent fraction with the smallest possible whole numbers.

2. How Does the Calculator Work?

The calculator uses the Euclidean algorithm to find GCD:

Where:

• Numerator — Top number of the fraction
• Denominator — Bottom number of the fraction
• GCD — Greatest common divisor of numerator and denominator

Explanation: The Euclidean algorithm repeatedly divides the larger number by the smaller number until the remainder is zero. The last non-zero remainder is the GCD.

3. Importance of Lowest Terms

Details: Simplified fractions are easier to work with in calculations and comparisons. They represent the most reduced form of a fraction, making them standard in mathematical expressions.

4. Using the Calculator

Tips: Enter positive integers for both numerator and denominator. The calculator will find the GCD and reduce the fraction to its simplest form.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a numerator larger than the denominator?
A: The calculator works with improper fractions (where numerator ≥ denominator) and will simplify them normally.

Q2: Can this calculator handle negative fractions?
A: No, this version only accepts positive integers. The negative sign would typically apply to the whole fraction.

Q3: What about fractions with zero?
A: Division by zero is undefined, so denominator cannot be zero. Numerator can be zero (result is always 0).

Q4: How is GCD different from LCM?
A: GCD is the largest number that divides both, while LCM is the smallest number both divide into.

Q5: Why use Euclidean algorithm?
A: It's one of the most efficient methods for finding GCD, especially for large numbers.