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Simple Fraction Operations:
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This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It's designed specifically for beginners to understand fraction operations.
The calculator performs operations according to standard fraction arithmetic 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 calculator also simplifies the resulting fraction by finding the greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics and essential for everyday situations like cooking, measurements, and financial calculations.
Tips: Enter numerators and denominators (must be non-zero), select an operation. The calculator will show the result in fraction form and its decimal equivalent.
Q1: Why can't denominators be zero?
A: Division by zero is mathematically undefined. A fraction with zero denominator doesn't represent a valid number.
Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by it.
Q3: Can I enter negative fractions?
A: Yes, you can enter negative numbers for numerators. The calculator will handle them correctly.
Q4: Why show both fraction and decimal results?
A: Fraction form is exact while decimal form is often easier to understand. Both representations are useful.
Q5: What if my result is an improper fraction?
A: The calculator shows the result as-is. You may choose to convert it to a mixed number if needed.