1. What is Fraction Multiplication?

Fraction multiplication involves multiplying the numerators together and the denominators together. When including whole numbers, they are treated as numerators with a denominator of 1.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — First numerator
• \( b \) — First denominator
• \( c \) — Second numerator
• \( d \) — Second denominator
• \( e \) — Whole number

Explanation: The calculator first multiplies all numerators (including the whole number) and all denominators, then simplifies the resulting fraction by finding the greatest common divisor.

3. Importance of Fraction Calculation

Details: Accurate fraction multiplication is essential in mathematics, engineering, cooking, and many real-world applications where proportional relationships are important.

4. Using the Calculator

Tips: Enter all required values (two fractions and one whole number). Denominators cannot be zero. The calculator will show both fractional and decimal results.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are zero?
A: Division by zero is undefined. The calculator requires non-zero denominators.

Q2: How is the simplification performed?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator to simplify the fraction.

Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative values in numerators and denominators.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions before entering them (whole part × denominator + numerator).

Q5: How precise are the results?
A: Fraction results are exact. Decimal results are rounded to 4 decimal places.