1. What is the Fractions Calculator?

The Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in simplified form and handles both proper and improper fractions.

2. How Does the Calculator Work?

The calculator performs the following operations:

Where:

• 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 automatically simplifies the result by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, calculus, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators as integers (positive or negative). Denominators cannot be zero. Select the desired operation and click Calculate.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter mixed numbers?
A: Currently, the calculator only accepts simple fractions (a/b format). Convert mixed numbers to improper fractions first.

Q2: How are negative fractions handled?
A: The negative sign can be placed in either numerator or denominator. The calculator will standardize the format.

Q3: What if the result is an improper fraction?
A: The calculator shows the result as an improper fraction in simplest form. You may convert it to a mixed number if needed.

Q4: What happens if I enter zero as a denominator?
A: Division by zero is undefined. The calculator will not produce a result if any denominator is zero.

Q5: Does the calculator show decimal equivalents?
A: Currently, it only displays fractional results. You can convert the simplified fraction to decimal manually if needed.