Multiple Fractions Calculator

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 Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

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 multiplies all numerators together to get the final numerator, and all denominators together to get the final denominator. It then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

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

4. Using the Calculator

Tips: Enter the numerators and denominators of up to three fractions. All denominators must be non-zero. The calculator will show the product in both fraction and decimal form.

5. Frequently Asked Questions (FAQ)

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

Q2: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator will not compute a result if any denominator is zero.

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 to simplify the fraction.

Q4: Can I enter negative fractions?
A: Yes, the calculator handles negative values. The sign follows standard mathematical rules (negative × negative = positive, etc.).

Q5: What about mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2) before entering them into the calculator.