3 Fraction Calculator Multiply Mixed Numbers

Mixed Number Multiplication:

\[ (a \frac{b}{c}) \times (d \frac{e}{f}) \times (g \frac{h}{i}) = \text{Convert to improper fractions then multiply} \]

First Mixed Number

Whole Number:

Numerator:

Denominator:

Second Mixed Number

Whole Number:

Numerator:

Denominator:

Third Mixed Number

Whole Number:

Numerator:

Denominator:

Improper Fraction Result:

Simplified Result:

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1. What is Mixed Number Multiplication?

Multiplying mixed numbers involves converting them to improper fractions, multiplying the numerators and denominators, then simplifying the result. This calculator handles multiplication of three mixed numbers simultaneously.

2. How the Calculator Works

The calculator performs 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

3. Step-by-Step Calculation Process

Step 1: Convert each mixed number to an improper fraction
Step 2: Multiply all numerators together
Step 3: Multiply all denominators together
Step 4: Simplify the resulting fraction by finding the greatest common divisor (GCD)
Step 5: Convert back to mixed number if the result is improper

4. Using the Calculator

Instructions: Enter the whole number, numerator and denominator for each of the three mixed numbers. Leave numerator as 0 if you have a whole number only. Denominator cannot be zero.

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 my denominators is zero?
A: The calculator automatically sets denominators to 1 if zero is entered, as division by zero is undefined.

Q3: How are negative numbers handled?
A: This calculator only accepts positive numbers. Negative numbers would require sign management in the calculation.

Q4: What's the maximum size number I can enter?
A: The calculator can handle very large numbers, but extremely large values may cause display issues.

Q5: Why do I get different results when I multiply whole numbers vs fractions?
A: Whole numbers are essentially fractions with denominator 1, so they follow the same multiplication rules but may simplify differently.