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Fraction Calculation:
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Fraction calculation involves performing arithmetic operations (addition, subtraction, multiplication, or division) on two fractions. The result is typically simplified to its lowest terms.
The calculator performs operations on two fractions (a/b and c/d) following these rules:
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 result is then 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 for both fractions, select the operation you want to perform. Denominators cannot be zero.
Q1: Why simplify fractions?
A: Simplified fractions are easier to understand and work with, and represent the same value in its most reduced form.
Q2: What if I get a negative denominator?
A: The calculator automatically moves the negative sign to the numerator for standard presentation.
Q3: Can I enter whole numbers as fractions?
A: Yes, just enter the whole number as the numerator and 1 as the denominator.
Q4: How are improper fractions handled?
A: Improper fractions (where numerator > denominator) are displayed as-is in simplified form.
Q5: What about mixed numbers?
A: This calculator works with proper/improper fractions only. Convert mixed numbers to improper fractions first.