1. What is a Fraction Calculator?

This calculator displays fractions in the style of Casio calculators, showing both the fractional form and decimal equivalent. It automatically simplifies fractions to their lowest terms.

2. How Does the Calculator Work?

The calculator uses the following representation:

Where:

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

Explanation: The calculator finds the greatest common divisor (GCD) of the numerator and denominator to simplify the fraction to its lowest terms.

3. Importance of Fraction Calculation

Details: Fractions are fundamental in mathematics and appear in various real-world applications from cooking to engineering. Understanding fraction simplification helps in problem solving and accurate measurements.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why does the denominator have to be positive?
A: In mathematics, division by zero is undefined, and negative denominators can be converted to positive by changing the sign of both numerator and denominator.

Q2: How is the fraction simplified?
A: The calculator uses the Euclidean algorithm to find the greatest common divisor (GCD) of the numerator and denominator, then divides both by this number.

Q3: What if I enter 0 as the numerator?
A: A numerator of 0 with any denominator (except 0) will always result in 0, which the calculator will display as 0/1.

Q4: Can this calculator handle improper fractions?
A: Yes, the calculator handles both proper (numerator < denominator) and improper (numerator ≥ denominator) fractions.

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