1. What Are Fraction Operations?

Fraction operations involve performing arithmetic calculations (addition, subtraction, multiplication, division) with two or more fractions. This calculator handles operations with three fractions simultaneously.

2. How Does the Calculator Work?

The calculator performs operations on three fractions:

Where:

• a, c, e — Numerators (top numbers)
• b, d, f — Denominators (bottom numbers)
• op — Selected operation (+, -, ×, ÷)

Explanation: The calculator finds a common denominator for addition/subtraction, multiplies numerators and denominators for multiplication, and inverts the second fraction for division.

3. Importance of Fraction Calculations

Details: Fraction operations are fundamental in mathematics, science, engineering, and everyday measurements. Understanding them is essential for proportional reasoning and solving real-world problems.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators), select an operation, and click Calculate. Denominators cannot be zero. Results are shown in both fractional and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: How does addition of fractions work?
A: Fractions must have a common denominator. The numerators are added while the denominator stays the same.

Q2: Why can't denominators be zero?
A: Division by zero is mathematically undefined. A denominator of zero would make the fraction meaningless.

Q3: How are fractions simplified?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q4: What's the difference between fraction and decimal results?
A: Fraction results are exact, while decimal results are approximate. The fraction form is often preferred in mathematical contexts.

Q5: Can I use negative numbers?
A: Yes, numerators can be negative, but denominators must be positive non-zero numbers.