Multiplying 3 Mixed Fractions

Mixed Fractions 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):

First Fraction (Numerator):

First Fraction (Denominator):

Second Fraction (Whole):

Second Fraction (Numerator):

Second Fraction (Denominator):

Third Fraction (Whole):

Third Fraction (Numerator):

Third Fraction (Denominator):

Multiplication Result:

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1. What is Mixed Fractions Multiplication?

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

2. How Does the Calculator Work?

The calculator uses the 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 numbers of each mixed fraction
\( n, q, t \) — Numerators of each mixed fraction
\( o, r, u \) — Denominators of each mixed fraction

Explanation: Each mixed fraction is converted to an improper fraction, then numerators are multiplied together and denominators are multiplied together.

3. Steps to Multiply Mixed Fractions

Step 1: Convert each mixed fraction to an improper fraction
Step 2: Multiply all numerators together
Step 3: Multiply all denominators together
Step 4: Simplify the resulting fraction
Step 5: Convert back to mixed number if needed

4. Using the Calculator

Tips: Enter whole numbers, numerators, and denominators for all three fractions. Denominators must be positive integers. The calculator will show the result as an improper fraction, simplified fraction, and mixed number if applicable.

5. Frequently Asked Questions (FAQ)

Q1: What if one of my fractions is a whole number?
A: Enter the whole number and set numerator to 0 and denominator to 1 (e.g., 5 = 5 0/1).

Q2: Can I multiply more than three fractions?
A: This calculator handles three fractions. For more, multiply two first then multiply the result with the next fraction.

Q3: What if my result is an improper fraction?
A: The calculator will show the improper fraction and its simplified form, plus the mixed number equivalent.

Q4: Why do we convert to improper fractions first?
A: It's mathematically easier to multiply improper fractions directly than to multiply mixed numbers.

Q5: What if I get a zero denominator?
A: The calculator prevents this by requiring denominators ≥1. Division by zero is undefined.