Fraction Calculator Mad For Math

Fraction Operations:

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \] \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

First Fraction:

Operation:

Second Fraction:

Result:

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1. What is Fraction Calculator?

The Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) with fractions. It provides results in simplified form and as mixed numbers when appropriate.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic rules:

\[ \text{Addition: } \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \] \[ \text{Subtraction: } \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \] \[ \text{Multiplication: } \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \] \[ \text{Division: } \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

After calculation, the result is simplified by dividing 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, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators (must be non-zero), select operation. The calculator will provide the result in simplest form, converting to mixed numbers when appropriate.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires non-zero denominators. Division by zero is undefined in mathematics.

Q2: How are negative fractions handled?
A: Negative signs can be on numerator or denominator. The calculator will normalize them to the numerator in the result.

Q3: What's the maximum size for numerators/denominators?
A: While there's no strict limit, very large numbers may cause calculation delays or overflow.

Q4: Why does the result sometimes show a whole number?
A: When the simplified denominator is 1, the calculator displays just the numerator as a whole number.

Q5: Can I enter mixed numbers directly?
A: Currently, you need to convert mixed numbers to improper fractions before entering them.