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Fractions Calculator:
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The Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) with fractions. It handles both proper and improper fractions, providing results in simplified form and as mixed numbers when appropriate.
The calculator uses standard fraction arithmetic rules:
Addition/Subtraction: \[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \]
Multiplication: \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \]
Division: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
After calculation, the result is simplified by dividing numerator and denominator by their greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics, science, engineering, and everyday life. Accurate fraction calculations are essential for measurements, ratios, and proportional reasoning.
Tips: Enter numerators and denominators (must be positive integers), select an operation. The calculator will show the result in improper fraction form, simplified form, and as a mixed number if applicable.
Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. Division by zero is undefined.
Q2: How are negative fractions handled?
A: Enter negative sign only in the numerator. The calculator will properly handle negative values in all operations.
Q3: What format is used for mixed numbers?
A: Mixed numbers are displayed as whole number plus proper fraction (e.g., 1 1/2 for 3/2).
Q4: Can I calculate with mixed numbers directly?
A: Convert mixed numbers to improper fractions first (e.g., 1 1/2 becomes 3/2).
Q5: How precise are the results?
A: Results are exact fractions, not decimal approximations, maintaining perfect precision.