Three Fraction Calculator Multiply Mixed Numbers

Mixed Fraction Multiplication Formula:

\[ (a \frac{b}{c}) \times (d \frac{e}{f}) \times (g \frac{h}{i}) = \frac{(a \times c + b)}{c} \times \frac{(d \times f + e)}{f} \times \frac{(g \times i + h)}{i} \]

First Mixed Number:

and /

Second Mixed Number:

and /

Third Mixed Number:

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Multiplication Result:

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1. What is Mixed Fraction Multiplication?

Mixed fraction multiplication involves multiplying three mixed numbers (a combination of whole numbers and proper fractions). The process requires converting mixed numbers to improper fractions before multiplying.

2. How Does the Calculator Work?

The calculator uses the following steps:

\[ (a \frac{b}{c}) \times (d \frac{e}{f}) \times (g \frac{h}{i}) = \frac{(a \times c + b)}{c} \times \frac{(d \times f + e)}{f} \times \frac{(g \times i + h)}{i} \]

Where:

a, d, g — Whole number parts
b, e, h — Numerators
c, f, i — Denominators

Explanation: Each mixed number is converted to an improper fraction, then all numerators are multiplied together and all denominators are multiplied together. The result is simplified to lowest terms.

3. Importance of Mixed Number Multiplication

Details: Multiplying mixed numbers is essential in various real-world applications including cooking, construction, and scientific measurements where quantities are often expressed as mixed numbers.

4. Using the Calculator

Tips: Enter the whole number, numerator and denominator for each mixed number. Denominators must be positive integers. The calculator will show the product in simplest form, either as a proper fraction or mixed number.

5. Frequently Asked Questions (FAQ)

Q1: Why convert to improper fractions first?
A: Mixed numbers can't be multiplied directly. Converting to improper fractions makes the multiplication process straightforward.

Q2: What if one of the denominators is zero?
A: The calculator requires all denominators to be at least 1 (division by zero is undefined).

Q3: How are negative numbers handled?
A: This calculator currently only accepts non-negative values for all inputs.

Q4: What if the result is a whole number?
A: The calculator will display just the whole number part without any fractional component.

Q5: Can this calculator handle more than three fractions?
A: This version is designed for exactly three mixed numbers, but the same principles apply to any number of fractions.