1. What is Fraction Reduction?

Fraction reduction is the process of simplifying a fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). This results in an equivalent fraction that is simpler to work with.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( g \) — Greatest Common Divisor of a and b (unitless)

Explanation: The calculator finds the GCD of the numerator and denominator, then divides both by this value to produce the simplified fraction.

3. Importance of Reduced Fractions

Details: Reduced fractions are easier to work with in calculations and comparisons. They represent the simplest form of the ratio between two numbers.

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 the same way - it will reduce the improper fraction to its simplest form.

Q2: What is the GCD of two prime numbers?
A: The GCD of two different prime numbers is always 1, so the fraction would already be in simplest form.

Q3: Can this calculator handle negative numbers?
A: No, this calculator only accepts positive integers for both numerator and denominator.

Q4: What is the simplest form of a fraction?
A: A fraction is in simplest form when the numerator and denominator have no common divisors other than 1.

Q5: How is the GCD calculated?
A: The calculator uses the Euclidean algorithm to efficiently find the GCD of the two numbers.