1. What is the Fraction Calculator?

The Fraction Calculator performs operations (addition, subtraction, multiplication, division) on fractions with large numbers. It handles big numerators and denominators and provides results in both original and simplified forms.

2. How Does the Calculator Work?

The calculator performs the following operations:

Where:

• \( abc \) — First numerator (large number)
• \( def \) — First denominator (large number)
• \( ghi \) — Second numerator (large number)
• \( jkl \) — Second denominator (large number)
• \( op \) — Operation (+, -, ×, ÷)

Explanation: The calculator first performs the operation according to standard fraction arithmetic rules, then simplifies the result using the greatest common divisor (GCD).

3. Importance of Fraction Calculations

Details: Accurate fraction calculations are crucial in mathematics, engineering, science, and finance where precise ratios are needed. The ability to handle large numbers makes this calculator particularly useful for complex calculations.

4. Using the Calculator

Tips: Enter all four numbers (two numerators and two denominators), select the operation, and click Calculate. All denominators must be non-zero.

5. Frequently Asked Questions (FAQ)

Q1: How large can the numbers be?
A: The calculator can handle very large numbers (up to PHP's maximum float size, typically around 1.8e308).

Q2: What if I get a zero denominator error?
A: Denominators cannot be zero in fractions. Please enter valid non-zero denominators.

Q3: How is the simplification performed?
A: The calculator uses the greatest common divisor (GCD) algorithm to reduce fractions to their simplest form.

Q4: Can I use negative numbers?
A: Yes, the calculator handles negative numbers in numerators and denominators.

Q5: What about decimal numbers?
A: While you can enter decimal numbers, the calculator is designed for integer fractions. Decimal inputs will be converted to fractions.