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Fraction Multiplication Calculator

Fraction Multiplication Formula:

\[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \]

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1. What is Fraction Multiplication?

Fraction multiplication is a mathematical operation where two fractions are multiplied together by multiplying their numerators and denominators. The result is a new fraction that represents the product of the two original fractions.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

\[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \]

Where:

Explanation: The calculator multiplies the numerators together and denominators together, then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

Details: Fraction multiplication is fundamental in mathematics, used in various applications including scaling recipes, calculating probabilities, and solving algebraic equations.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will show both the raw product and simplified form if possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions (e.g., 2½ becomes 5/2), then use the calculator.

Q2: What if one of my denominators is zero?
A: Division by zero is undefined. The calculator requires non-zero denominators.

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.

Q4: Can I multiply more than two fractions?
A: Multiply the first two, then multiply the result with the next fraction, and so on.

Q5: What if my result is an improper fraction?
A: The calculator shows the exact fractional form. You can convert it to a mixed number if needed.

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