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Fraction Operations:
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The Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) with fractions and provides results in simplified 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
Explanation: The calculator first performs the operation according to the rules above, then simplifies the result by dividing numerator and denominator by their greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics and essential for many real-world applications including measurements, ratios, and proportional reasoning.
Tips: Enter numerators and denominators as integers (denominators must be non-zero). Select the operation type. The calculator will display the result in simplest form.
Q1: What if my denominator is zero?
A: The calculator prevents division by zero by requiring denominators to be at least 1.
Q2: How are negative fractions handled?
A: Negative signs can be placed in either numerator or denominator (but not both). The calculator will properly simplify them.
Q3: What if my 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: Does the calculator show decimal equivalents?
A: This version shows only fractional results. For decimal equivalents, divide numerator by denominator.
Q5: What's the largest number it can handle?
A: The calculator can handle numbers up to PHP's integer limits (typically ±2 billion). Very large numbers may cause precision issues.