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Fraction Operations:
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The Fraction Solver Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions and returns the result in its simplest form.
The calculator performs the following operations:
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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
After performing the operation, the result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics and essential for various real-world applications including measurements, ratios, and proportional relationships.
Tips: Enter numerators and denominators (must be non-zero for denominators), select the operation, and click calculate. The result will be displayed in simplest form.
Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. It will not accept zero or negative denominators.
Q2: How are negative fractions handled?
A: Negative signs should be placed on the numerator. The calculator will properly handle negative values in all operations.
Q3: What if the result is a whole number?
A: The calculator will display the result as a whole number when the simplified denominator is 1 (e.g., 4/1 will display as 4).
Q4: Does the calculator show intermediate steps?
A: No, it only shows the final simplified result. For step-by-step solutions, you would need a more advanced calculator.
Q5: What's the largest number it can handle?
A: The calculator is limited by PHP's integer size (typically ±2,147,483,647 on 32-bit systems). Very large numbers may cause overflow.