Fraction Operations:
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This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) between fractions and whole numbers. It provides results in simplified form and as mixed numbers when applicable.
The calculator performs operations according to standard mathematical rules:
Where:
Explanation: The calculator converts whole numbers to fractions when needed, performs the operation, then simplifies the result.
Details: Understanding fraction operations is essential in many real-world applications including cooking, construction, engineering, and financial calculations.
Tips: Enter numerator (a), denominator (b > 0), whole number (c), and select an operation. The calculator will show the result in simplified form and as a mixed number when applicable.
Q1: Why does the denominator have to be positive?
A: Fractions with zero denominators are undefined, and negative denominators can be converted to positive by moving the sign to the numerator.
Q2: How are results simplified?
A: Results are simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
Q3: What if the result is an improper fraction?
A: The calculator will show both the improper fraction and its mixed number equivalent when applicable.
Q4: Can I enter negative numbers?
A: Yes, you can enter negative numbers for the numerator or whole number, but denominator must be positive.
Q5: How precise are the calculations?
A: Calculations are exact since they use integer arithmetic until the final simplification step.