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Fraction Operations:
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The Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both fractional and decimal form, simplifying the fractions when possible.
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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
Explanation: The calculator first performs the operation, then simplifies the result by finding the greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics, science, engineering, and everyday life situations like cooking or measuring.
Tips: Enter numerators and denominators (must be non-zero for denominators). Select the operation you want to perform. The calculator will show the result in both fractional and decimal form.
Q1: What if my denominator is negative?
A: The calculator automatically handles negative denominators by moving the sign to the numerator.
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: What if I enter zero for a denominator?
A: The calculator requires denominators to be non-zero (minimum value of 1).
Q4: How precise is the decimal conversion?
A: The decimal is rounded to 4 decimal places for readability.
Q5: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions (e.g., 1½ = 3/2).