Multiply Fractions Mixed Numbers Calculator

Mixed Number Multiplication Formula:

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

First Number - Whole Part:

First Number - Numerator:

First Number - Denominator:

Second Number - Whole Part:

Second Number - Numerator:

Second Number - Denominator:

Calculation Result:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Mixed Number Multiplication?

Mixed number multiplication involves multiplying numbers that have both whole and fractional parts. The process converts mixed numbers to improper fractions, multiplies them, and then simplifies the result back to mixed number form if needed.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

\( a \) — Whole part of first number
\( b \) — Numerator of first number
\( c \) — Denominator of first number
\( d \) — Whole part of second number
\( e \) — Numerator of second number
\( f \) — Denominator of second number

Explanation: The calculator first converts mixed numbers to improper fractions, multiplies them, and then simplifies the result.

3. Importance of Mixed Number Calculations

Details: Mixed number multiplication is essential in various real-world applications including cooking, construction, and scientific measurements where quantities often include whole and fractional parts.

4. Using the Calculator

Tips: Enter whole numbers, numerators, and denominators for both mixed numbers. Denominators must be positive integers. The calculator will show the result in simplest form, either as a proper fraction or mixed number.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply a mixed number with a whole number?
A: Yes, just enter the whole number with numerator 0 and denominator 1 (e.g., 5 as 5 0/1).

Q2: What if my result is an improper fraction?
A: The calculator will show the improper fraction in simplest form. You can choose to convert it to a mixed number manually if desired.

Q3: How does the calculator simplify fractions?
A: It uses the greatest common divisor (GCD) to reduce the fraction to its simplest form.

Q4: What if I enter 0 as the whole part?
A: That's fine - it means you're multiplying simple fractions rather than mixed numbers.

Q5: Can I use negative numbers?
A: The current calculator only accepts non-negative numbers for all inputs.