Fraction Calculator Multiply 3 Fractions

Multiplication of Three Fractions:

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

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 (Simplified):

Result (Decimal):

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1. What is Multiplication of Three Fractions?

Multiplication of three fractions involves multiplying all the numerators together and all the denominators together, then simplifying the resulting fraction to its lowest terms.

2. How Does the Calculator Work?

The calculator uses the following 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 fraction numerator
\( b \) — First fraction denominator
\( c \) — Second fraction numerator
\( d \) — Second fraction denominator
\( e \) — Third fraction numerator
\( f \) — Third fraction denominator

Explanation: The calculator first multiplies all numerators and denominators, then simplifies the result using the greatest common divisor (GCD).

3. Importance of Fraction Multiplication

Details: Multiplying fractions is fundamental in mathematics and has applications in scaling recipes, calculating probabilities, and solving ratio problems in physics and engineering.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will provide both simplified fractional and decimal results.

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 values.

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.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values. The result will be negative if an odd number of fractions are negative.

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

Q5: Does the order of multiplication matter?
A: No, fraction multiplication is commutative. You'll get the same result regardless of the order.