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Fraction Operations:
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The Fraction Calculator performs operations (addition, subtraction, multiplication, division) on three fractions. It handles both proper and improper fractions, providing results in simplified form.
The calculator performs operations according to standard fraction arithmetic rules:
Addition: \[ \frac{a}{b} + \frac{c}{d} + \frac{e}{f} = \frac{a \times d \times f + c \times b \times f + e \times b \times d}{b \times d \times f} \]
Subtraction: \[ \frac{a}{b} - \frac{c}{d} - \frac{e}{f} = \frac{a \times d \times f - c \times b \times f - e \times b \times d}{b \times d \times f} \]
Multiplication: \[ \frac{a}{b} \times \frac{c}{d} \times \frac{e}{f} = \frac{a \times c \times e}{b \times d \times f} \]
Division: \[ \frac{a}{b} \div \frac{c}{d} \div \frac{e}{f} = \frac{a \times d \times f}{b \times c \times e} \]
Explanation: The calculator first finds a common denominator for addition/subtraction, then simplifies the result using the greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics, science, engineering, and everyday life for precise measurements and calculations.
Tips: Enter numerators and denominators for all three fractions (denominators cannot be zero), select the operation, and click Calculate. The result will be in simplest form.
Q1: Can I enter mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2 1/2 becomes 5/2).
Q2: What if I get a negative denominator?
A: The calculator will properly handle negative signs, moving them to the numerator if needed.
Q3: How are results simplified?
A: Results are simplified by dividing numerator and denominator by their GCD.
Q4: What if denominators are different?
A: The calculator automatically finds common denominators for addition/subtraction.
Q5: Can I use decimal numbers?
A: No, this calculator works with exact fractions. For decimals, use a decimal calculator.