Multiply Fractions Calculator 3 Fractions

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):

Product Result:

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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). The result is typically simplified to its lowest terms.

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 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, 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 the raw product and simplified form if simplification is possible.

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 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 number.

Q4: Can I use negative numbers?
A: Yes, the calculator handles negative fractions. A negative in either numerator or denominator makes the fraction negative.

Q5: What if my result is an improper fraction?
A: The calculator shows improper fractions as-is. You may convert to mixed numbers manually if desired.