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Fraction Operations:
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The Mathway Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both fractional and decimal form, with simplified 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
The calculator then simplifies the result by dividing numerator and denominator by their greatest common divisor (GCD).
Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.
Tips: Enter numerators and denominators (must be non-zero for denominators), select operation. Results show in both fractional and decimal form, with simplified fractions when possible.
Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be non-zero (division by zero is undefined).
Q2: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.
Q3: Can I enter negative fractions?
A: Yes, negative values are allowed for numerators. The negative sign will appear in the simplified form.
Q4: What about mixed numbers?
A: This calculator works with simple fractions. Convert mixed numbers to improper fractions first.
Q5: How precise are the decimal results?
A: Decimals are rounded to 4 decimal places for readability.