1. What is a Reduced Fraction Calculator?

Definition: This calculator simplifies fractions to their lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).

Purpose: It helps students, teachers, and professionals quickly reduce fractions for mathematical operations and presentations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Original numerator (unitless)
• \( b \) — Original denominator (unitless)
• \( \gcd(a,b) \) — Greatest common divisor of a and b

Explanation: The GCD is found using Euclid's algorithm, then both numerator and denominator are divided by this value.

3. Importance of Fraction Reduction

Details: Reduced fractions are easier to work with in calculations and provide the simplest form for clear communication of ratios.

4. Using the Calculator

Tips: Enter any positive integers for numerator and denominator. The calculator will return the simplest form of the fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a numerator larger than the denominator?
A: The calculator works with improper fractions and will reduce them to simplest form.

Q2: What happens if I enter 0?
A: The calculator requires positive integers (minimum value is 1).

Q3: How is the GCD calculated?
A: Using Euclid's algorithm through recursive division.

Q4: Will the calculator show mixed numbers?
A: No, it shows the reduced fraction form only.

Q5: Can I reduce fractions with decimals?
A: This version only accepts integers, but you can multiply by 10^n to eliminate decimals first.