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Fraction Simplification:
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Fraction simplification is the process of combining two fractions into a single simplified fraction through mathematical operations (addition, subtraction, multiplication, or division) and reducing the result to its simplest form.
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 performing the operation, the calculator simplifies the result by dividing both numerator and denominator by their greatest common divisor (GCD).
Details: Simplifying fractions makes them easier to understand, compare, and work with in further calculations. It's a fundamental skill in mathematics used in algebra, calculus, and real-world applications.
Tips: Enter numerators and denominators (b and d cannot be zero), select an operation, and click calculate. The calculator will show the result in simplest form.
Q1: What if my denominator becomes zero?
A: The calculator prevents division by zero. Denominators must be non-zero values.
Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.
Q3: Can I use decimal numbers?
A: Yes, the calculator accepts both integers and decimal numbers.
Q4: What if the result is a whole number?
A: The calculator will show it as a fraction with denominator 1 (e.g., 5/1).
Q5: Does it handle negative fractions?
A: Yes, negative values can be entered in either numerator or denominator.