Fraction Calculator Multiply 3 Fractions

Fraction Multiplication Formula:

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

Numerator (a):

Denominator (b):

Numerator (c):

Denominator (d):

Numerator (e):

Denominator (f):

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, the product is (a×c×e)/(b×d×f). The result should always be 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, c, e — Numerators of the three fractions
b, d, f — Denominators of the three fractions

Explanation: The calculator first multiplies all numerators and all denominators, then simplifies the resulting fraction by finding the 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.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will display the product in fraction form and decimal form.

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 calculator simplify fractions?
A: It finds the greatest common divisor (GCD) of the numerator and denominator using the Euclidean algorithm.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values. The sign will appear in the numerator of the simplified form.

Q4: What if the result is an improper fraction?
A: The calculator displays improper fractions as-is (like 7/4) rather than converting to mixed numbers.

Q5: How precise is the decimal conversion?
A: The decimal is rounded to 4 decimal places for readability.