1. What is the Fraction Calculator?

The Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both fractional and decimal form, with simplified fractions when possible.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic rules:

Where operations are performed as:

• Addition: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
• Subtraction: \(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
• Multiplication: \(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
• Division: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

Explanation: The calculator first performs the operation, then simplifies the result by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Fraction Operations

Details: Fraction arithmetic is fundamental in mathematics, science, engineering, and everyday calculations. Understanding fraction operations is essential for solving many real-world problems.

4. Using the Calculator

Tips: Enter numerators and denominators as integers (denominators cannot be zero). The calculator will show the result in unsimplified and simplified forms, along with a decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not accept zero denominators as they are mathematically undefined.

Q2: How are fractions simplified?
A: Fractions are simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

Q3: Can I enter negative fractions?
A: Yes, negative values are accepted for numerators (the sign applies to the whole fraction).

Q4: What's the precision of decimal results?
A: Decimal results are rounded to 4 decimal places for readability.

Q5: Can this handle mixed numbers?
A: No, this calculator only works with simple fractions. Convert mixed numbers to improper fractions first.