Multiplying Fractions Calculator 3 Numbers

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:

Decimal Result:

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1. What is Multiplying Three Fractions?

Multiplying three fractions involves multiplying all numerators together and all denominators together, then simplifying the resulting fraction. This operation is fundamental in mathematics and has applications in probability, scaling, and dimensional analysis.

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 multiplies all numerators together, all denominators together, then simplifies the resulting fraction by finding the greatest common divisor (GCD).

3. Importance of Fraction Multiplication

Details: Multiplying fractions is essential in many mathematical and real-world applications including probability calculations, scaling recipes, converting units, and solving algebraic equations.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will show both the fractional result and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply fractions with different denominators?
A: Yes! Unlike addition, fraction multiplication doesn't require common denominators. Just multiply numerators and denominators directly.

Q2: What if one of my 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, then divides both by this value.

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

Q5: What about negative fractions?
A: Negative signs can be placed in either numerator or denominator. Two negatives make a positive result.