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Fraction Operations:
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Fraction calculation involves performing arithmetic operations (addition, subtraction, multiplication, division) between two fractions. The result is typically simplified to its lowest terms.
The calculator performs four basic 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
The calculator then simplifies the result by dividing numerator and denominator by their greatest common divisor (GCD).
Details: Fraction operations are fundamental in mathematics, used in various fields including engineering, physics, and everyday measurements. Understanding fractions is essential for advanced mathematical concepts.
Tips: Enter numerators and denominators (must be positive for denominators), select operation. The calculator will show the raw result and simplified form if possible.
Q1: Why simplify fractions?
A: Simplified fractions are easier to understand and work with in further calculations.
Q2: What if denominator becomes zero?
A: The calculator prevents zero denominators which are mathematically undefined.
Q3: How are negative fractions handled?
A: Negative signs can be placed on either numerator or denominator, but the simplified form will show it in the numerator.
Q4: Can I use decimals?
A: This calculator works with integers only. For decimals, convert to fractions first.
Q5: What about mixed numbers?
A: Convert mixed numbers to improper fractions before using this calculator.