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Multiplying Fractions 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 by multiplying their numerators together and their denominators together. The result is typically simplified to its lowest terms.

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 first multiplies the numerators and denominators, then simplifies the result by dividing both by their greatest common divisor (GCD).

3. Importance of Simplifying Fractions

Details: Simplifying fractions makes results easier to understand and work with. It converts fractions to their most reduced form where numerator and denominator have no common divisors other than 1.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. Denominators cannot be zero. Negative values can be entered in either numerator or denominator.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: Division by zero is undefined. The calculator will return "Undefined" if a zero denominator is detected.

Q2: How are negative fractions handled?
A: The negative sign can be in either numerator or denominator. The simplified form will always show the sign in the numerator.

Q3: What if the result is a whole number?
A: If the simplified denominator is 1, the calculator displays just the numerator as a whole number.

Q4: What's the largest number I can enter?
A: Numbers between -999 and 999 are accepted to prevent calculation errors.

Q5: Can I multiply mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2).

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