Multiply Multiple Fractions Calculator With Different

Fraction Multiplication Formula:

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

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Product of Fractions:

Simplified Fraction:

Decimal Result:

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1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. The product of two or more fractions is a fraction whose numerator is the product of the numerators and whose denominator is the product of the denominators of the given fractions.

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 first multiplies all numerators together and all denominators together, then simplifies the resulting fraction by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics and has applications in various fields including physics, engineering, and finance. It's essential for solving problems involving ratios, proportions, and scaling.

4. Using the Calculator

Tips: Enter all numerators and denominators. Denominators cannot be zero. The calculator will show the product fraction, its simplified form, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply more than three fractions?
A: This calculator handles three fractions, but the same principle applies to any number of fractions - multiply all numerators and all denominators.

Q2: What if one denominator is zero?
A: Division by zero is undefined. The calculator requires all denominators to be non-zero.

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

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

Q5: What about negative fractions?
A: Negative signs can be placed in either numerator or denominator, but not both. The calculator handles negative values correctly.