Multiply Mixed Fractions Calculator

Mixed Fractions Multiplication Formula:

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

First Whole Number (m):

First Numerator (n):

First Denominator (o):

Second Whole Number (p):

Second Numerator (q):

Second Denominator (r):

Result (Simplified):

Result (Improper Fraction):

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1. What is Mixed Fractions Multiplication?

Mixed fractions multiplication involves multiplying two numbers that each consist of a whole number and a proper fraction. The calculator converts them to improper fractions, multiplies them, and simplifies the result.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

\( m \) — First whole number
\( n \) — First numerator
\( o \) — First denominator
\( p \) — Second whole number
\( q \) — Second numerator
\( r \) — Second denominator

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

3. Importance of Mixed Fractions

Details: Mixed fractions are commonly used in everyday measurements (like cooking or construction) where quantities often include whole units plus fractional parts.

4. Using the Calculator

Tips: Enter whole numbers, numerators and denominators for both mixed fractions. Denominators must be positive integers. The calculator will show both simplified mixed form and improper fraction results.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply mixed fractions directly?
A: No, you must first convert them to improper fractions before multiplying.

Q2: What if one of my denominators is zero?
A: Denominators cannot be zero (division by zero is undefined). The calculator requires denominators ≥ 1.

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by it.

Q4: Can I use negative numbers?
A: This calculator is designed for positive numbers only, as negative mixed fractions have special rules.

Q5: Why show both mixed and improper results?
A: Different situations call for different forms - mixed numbers are more intuitive, while improper fractions are often easier for further calculations.