3 Fraction Calculator Multiply

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 Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Multiplication Result:

Decimal Value:

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1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. For three fractions a/b, c/d, and e/f, the product is (a×c×e)/(b×d×f). This operation is fundamental in mathematics with applications in ratios, probabilities, and scaling.

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 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 to get the final numerator, and all denominators together to get the final denominator. It then simplifies the resulting fraction if possible.

3. Importance of Fraction Multiplication

Details: Multiplying fractions is essential in many real-world applications including cooking (adjusting recipes), construction (scaling measurements), finance (calculating interest rates), and science (computing probabilities).

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will show both the unsimplified and simplified fraction forms, plus the decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply more than three fractions?
A: Yes, the same principle applies - multiply all numerators together and all denominators together, then simplify.

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

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

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 (but not both). The calculator handles negatives correctly.