Multiplying Fractions Calculator 3 Numbers

Multiplication Formula:

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

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. For three fractions, the formula is:

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

2. How Does the Calculator Work?

The calculator performs the following steps:

Multiplies all numerators (a × c × e)
Multiplies all denominators (b × d × f)
Finds the greatest common divisor (GCD) of the resulting numerator and denominator
Simplifies the fraction by dividing both numerator and denominator by their GCD

3. Importance of Simplifying Fractions

Details: Simplifying fractions makes them easier to understand and work with. A simplified fraction is in its lowest terms when the numerator and denominator have no common divisors other than 1.

4. Using the Calculator

Tips: Enter integers for all numerator and denominator values. Denominators cannot be zero. The calculator will automatically simplify the resulting fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the denominators is zero?
A: Division by zero is undefined. All denominators must be non-zero integers.

Q2: How does the calculator simplify fractions?
A: It uses the Euclidean algorithm to find the greatest common divisor (GCD) of the numerator and denominator.

Q3: Can I use negative numbers?
A: Yes, the calculator handles negative numbers. The negative sign will appear in the numerator of the simplified fraction.

Q4: What if the result is a whole number?
A: The calculator will show it as a fraction with denominator 1 (e.g., 5/1).

Q5: Can this calculator handle more than three fractions?
A: This version is designed for three fractions, but the same principle applies to any number of fractions.