Multiply Fraction Calculator with 3 Fractions

Fraction Multiplication Formula:

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

First Fraction:

Second Fraction:

Third Fraction:

Product Result:

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1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. For three fractions, the product is calculated by multiplying all three numerators and all three denominators.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

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

Where:

\( a, c, e \) — Numerators of the fractions
\( b, d, f \) — Denominators of the fractions

Explanation: The calculator multiplies all numerators together to get the final numerator, and all denominators together to get the final denominator, then simplifies the resulting fraction.

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.

4. Using the Calculator

Tips: Enter the numerator and denominator for each of the three fractions. All denominators must be non-zero. The calculator will show both the raw product and simplified form.

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. All denominators must be non-zero numbers.

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

Q4: Can I use negative fractions?
A: Yes, the calculator handles negative fractions. The negative sign can be placed on either the numerator or denominator.

Q5: What about whole numbers?
A: Whole numbers can be entered as fractions with denominator 1 (e.g., 3 as 3/1).