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Fraction Operations:
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This calculator helps solve fraction operation problems of the form a/b op c/d, where op can be addition, subtraction, multiplication, or division. It shows both the raw result and simplified form.
The calculator performs four basic 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
Details: The calculator shows the operation performed, the un-simplified result, and the simplified fraction. If the denominator simplifies to 1, it shows the whole number result.
Tips: Enter numerators and denominators (must be non-zero), select an operation, and click Calculate. Negative values are allowed.
Q1: Why can't denominators be zero?
A: Division by zero is mathematically undefined and would create an invalid fraction.
Q2: How is simplification done?
A: The calculator uses the greatest common divisor (GCD) to reduce fractions to simplest form.
Q3: Can I use negative numbers?
A: Yes, negative numerators or denominators are allowed and will be handled correctly.
Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before using this calculator.
Q5: Does it show decimal equivalents?
A: No, this calculator focuses on exact fractional results rather than decimal approximations.