1. What is Fractional Notation?

Fractional notation represents numbers as a ratio of two integers (a numerator and a denominator). It's an alternative to decimal notation and is particularly useful for representing exact ratios and proportions.

2. How Does the Calculator Work?

The calculator converts between fractional and decimal notation:

Where:

• Numerator — The top number in the fraction (dividend)
• Denominator — The bottom number in the fraction (divisor)

Explanation: The calculator also simplifies fractions by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fractional Notation

Details: Fractions provide exact representations of ratios, unlike decimals which may be approximations. They're essential in mathematics, engineering, and sciences where precise ratios are needed.

4. Using the Calculator

Tips: Enter any integer numerator and a positive integer denominator. The calculator will show both the decimal equivalent and simplified fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominator ≥ 1. Division by zero is mathematically undefined.

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

Q3: Can I enter negative numbers?
A: The calculator currently only accepts non-negative numerators and positive denominators.

Q4: What's the advantage over decimal notation?
A: Fractions represent exact values (like 1/3) that decimals can only approximate (0.333...).

Q5: How precise is the decimal conversion?
A: The decimal is rounded to 4 decimal places for display, but calculations use full precision.