Fraction Addition Formula:
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Fraction addition combines two fractions into a single fraction. The operation requires finding a common denominator, then adding the numerators while keeping the denominator the same.
The calculator uses the standard fraction addition formula:
Where:
Explanation: The formula finds a common denominator by multiplying the denominators, then combines the numerators accordingly.
Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, measurements, ratios, and real-world applications like cooking or construction.
Tips: Enter integers for all four values (a, b, c, d). Denominators cannot be zero. The calculator will automatically simplify the result if possible.
Q1: Can I enter negative numbers?
A: Yes, the calculator handles negative numerators and denominators, following standard mathematical rules.
Q2: What if my denominator is zero?
A: The calculator requires denominators to be non-zero, as division by zero is undefined.
Q3: How does simplification work?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions to their simplest form.
Q4: Can I add more than two fractions?
A: This calculator handles two fractions at a time. For multiple fractions, add them sequentially.
Q5: Does this work for mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2).