1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. For three fractions, the product is (a×c×e)/(b×d×f). The result can often be simplified by dividing numerator and denominator by their greatest common divisor.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

Where:

• \( a \) — First numerator
• \( b \) — First denominator
• \( c \) — Second numerator
• \( d \) — Second denominator
• \( e \) — Third numerator
• \( f \) — Third denominator

Explanation: The calculator first multiplies all numerators and all denominators, then simplifies the resulting fraction by finding the greatest common divisor (GCD).

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics, used in scaling recipes, calculating probabilities, solving algebraic equations, and many real-world applications involving ratios and proportions.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will show the raw product, simplified form, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator requires all denominators to be non-zero.

Q2: How is the simplified form calculated?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator using the Euclidean algorithm.

Q3: Can I enter negative fractions?
A: Yes, negative values are allowed. The sign will be applied to the numerator in the simplified result.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2).

Q5: How precise are the results?
A: Results are precise to 4 decimal places. Exact fractional form is maintained until simplification.