Multiplying 3 Fractions Calculator

Fraction Multiplication Formula:

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

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Result (Simplified Fraction):

Result (Decimal):

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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 obtained 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:

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

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 scaling recipes, calculating probabilities, solving algebraic equations, and many real-world problems 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 provide both the simplified fraction and decimal result.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator requires all denominators to be non-zero.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this number to simplify the fraction.

Q3: Can I enter negative numbers?
A: Yes, the calculator accepts negative numbers. The result will be negative if there's an odd number of negative numerators or denominators.

Q4: What if the result is a whole number?
A: When simplified, if the denominator becomes 1, the calculator displays just the numerator as a whole number.

Q5: How precise are the results?
A: The simplified fraction is exact. The decimal result is rounded to 4 decimal places for display purposes.