3 Mixed Fraction Multiplication Calculator

3 Mixed Fraction Multiplication Formula:

\[ (m \frac{n}{o}) \times (p \frac{q}{r}) \times (s \frac{t}{u}) = \frac{(m \times o + n) \times (p \times r + q) \times (s \times u + t)}{o \times r \times u} \]

First Fraction - Whole Number:

First Fraction - Numerator:

First Fraction - Denominator:

Second Fraction - Whole Number:

Second Fraction - Numerator:

Second Fraction - Denominator:

Third Fraction - Whole Number:

Third Fraction - Numerator:

Third Fraction - Denominator:

Multiplication Result:

Decimal Equivalent:

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1. What is 3 Mixed Fraction Multiplication?

3 Mixed Fraction Multiplication involves multiplying three mixed numbers together. A mixed number consists of a whole number and a proper fraction. This calculator simplifies the process by converting mixed numbers to improper fractions, multiplying them, and then converting back to a mixed number.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ (m \frac{n}{o}) \times (p \frac{q}{r}) \times (s \frac{t}{u}) = \frac{(m \times o + n) \times (p \times r + q) \times (s \times u + t)}{o \times r \times u} \]

Where:

\( m, p, s \) — Whole number parts
\( n, q, t \) — Numerators
\( o, r, u \) — Denominators

Explanation: The calculator first converts each mixed number to an improper fraction, then multiplies all numerators together and all denominators together, and finally simplifies the resulting fraction.

3. Importance of Mixed Fraction Multiplication

Details: Multiplying mixed fractions is essential in various mathematical and real-world applications, including measurements in construction, recipe scaling in cooking, and solving complex mathematical problems.

4. Using the Calculator

Tips: Enter the whole number, numerator, and denominator for each of the three mixed fractions. Numerators must be non-negative, and denominators must be positive. The calculator will display the result as a simplified mixed number and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if one of my fractions is a whole number?
A: Simply enter the whole number and set the numerator to 0 and denominator to 1 for that fraction.

Q2: What if I get an improper fraction as a result?
A: The calculator will convert it to a mixed number (with whole number and proper fraction parts).

Q3: Can I multiply more than three fractions?
A: This calculator is designed for three fractions, but you can chain calculations by using the result as one of the inputs in a new calculation.

Q4: What if my denominator is zero?
A: The calculator requires denominators to be at least 1 (division by zero is undefined).

Q5: How is the fraction simplified?
A: The calculator uses the greatest common divisor (GCD) to reduce the fraction to its simplest form.