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Fraction Calculation:
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The Fraction Calculator is a tool that performs basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. It provides results in both fractional and decimal form.
The calculator uses 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
After calculation, the result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
Details: Fraction operations are fundamental in mathematics, science, engineering, and everyday measurements. Accurate fraction calculations are essential for precise measurements and problem-solving.
Tips: Enter numerators and denominators for both fractions, select the operation, and click Calculate. The calculator will display the result in simplified fraction form and as a decimal.
Q1: What if I enter a denominator of zero?
A: The calculator will not process the calculation as division by zero is undefined.
Q2: How are negative fractions handled?
A: Negative signs can be placed on either numerator or denominator. The calculator will properly handle negative values.
Q3: What if the result is a whole number?
A: The calculator will display it as a whole number (e.g., 2 instead of 2/1).
Q4: How precise is the decimal conversion?
A: The decimal is rounded to 4 decimal places for readability.
Q5: Can I enter mixed numbers?
A: Currently, the calculator only accepts simple fractions. Convert mixed numbers to improper fractions first.