Multiply 3 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 Numerator (a):

First Denominator (b):

Second Numerator (c):

Second Denominator (d):

Third Numerator (e):

Third 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 product is (a×c×e)/(b×d×f). The result can often be simplified by dividing numerator and denominator by their greatest common divisor (GCD).

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:

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

Explanation: The calculator multiplies all numerators together and all denominators together, then simplifies the resulting fraction by finding the 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 both the raw product and simplified form (if different).

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers?
A: Yes, the calculator handles negative values. A negative numerator or denominator will make the fraction negative.

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

Q3: How is the simplification calculated?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm.

Q4: Can I use decimal numbers?
A: Yes, the calculator accepts decimal inputs with up to two decimal places.

Q5: What if the result is a whole number?
A: The simplified form will show as numerator/1 (e.g., 5/1) which equals 5.