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Basic Fraction Operations:
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This calculator helps beginners understand and perform basic fraction operations: addition, subtraction, multiplication, and division. It shows both the fractional result and its decimal equivalent.
The calculator performs these 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: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)
Example 1: Adding Fractions
\(\frac{1}{2} + \frac{1}{4} = \frac{(1×4)+(1×2)}{2×4} = \frac{6}{8} = \frac{3}{4}\)
Example 2: Multiplying Fractions
\(\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}\)
Tips: Enter numerators and denominators (must be integers, denominators cannot be zero). Select the operation and click Calculate.
Q1: Why can't denominators be zero?
A: Division by zero is mathematically undefined. Fractions with zero denominators don't exist.
Q2: How are fractions simplified?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.
Q3: What if I get a negative denominator?
A: The calculator moves the negative sign to the numerator for standard form (e.g., 1/-2 becomes -1/2).
Q4: Can I enter mixed numbers?
A: Convert them to improper fractions first (e.g., 1½ becomes 3/2).
Q5: Why show decimal equivalents?
A: Decimals help visualize the fraction's value and verify your calculation.