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Fraction Operations:
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Fraction calculation involves performing arithmetic operations (addition, subtraction, multiplication, division) on fractions. A fraction represents a part of a whole and consists of a numerator (top number) and denominator (bottom number).
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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
After calculation, the result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics and essential for real-world applications like cooking, construction, and financial calculations.
Tips: Enter numerators and denominators (denominators must not be zero). Select the operation you want to perform. The calculator will show the result in simplest form.
Q1: What if my denominator is zero?
A: The calculator won't accept zero denominators as they're mathematically undefined.
Q2: How are negative fractions handled?
A: Negative signs can be placed on either numerator or denominator (but not both). The calculator will properly simplify them.
Q3: What if the result is an improper fraction?
A: The calculator shows the result as an improper fraction (like 5/4) rather than a mixed number (1 1/4).
Q4: How precise are the calculations?
A: The calculator uses exact fractions, avoiding decimal rounding errors common in other calculation methods.
Q5: Can I calculate with mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1 1/2 becomes 3/2).