1. What is a Fraction Calculator?

A fraction calculator helps perform operations with fractions and displays results in both fractional and decimal forms. It simplifies fractions to their lowest terms automatically.

2. How Does the Calculator Work?

The calculator uses the following representation:

Where:

• \( a \) — Numerator (top number)
• \( b \) — Denominator (bottom number)

Explanation: The calculator simplifies fractions by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Fraction Calculation

Details: Fractions are fundamental in mathematics, used in measurements, ratios, probabilities, and many real-world applications. Accurate fraction calculation is essential for precise results.

4. Using the Calculator

Tips: Enter any integer for numerator. Denominator must be a positive integer (cannot be zero). The calculator will simplify the fraction and show the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero as denominator?
A: Division by zero is undefined. The calculator will show an error message.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator, then divides both by this number.

Q3: Can I enter negative numbers?
A: Yes, but the negative sign should only be in the numerator. The denominator must be positive.

Q4: What's the maximum number I can enter?
A: The calculator handles standard integer values. Extremely large numbers may cause calculation errors.

Q5: Why show both fraction and decimal?
A: Fractions are exact while decimals are often approximations. Both forms are useful in different contexts.