1. What is Fraction Multiplication?

Multiplying a fraction by a whole number follows the same principle as multiplying two fractions. The whole number can be considered as a fraction with denominator 1. The result is obtained by multiplying the numerator by the whole number while keeping the denominator the same.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction
• \( c \) — Whole number to multiply by

Explanation: The calculator first performs the multiplication in the numerator, then simplifies the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Fraction Multiplication

Details: This operation is fundamental in mathematics and has practical applications in scaling recipes, calculating proportions, and solving real-world problems involving parts of wholes.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction (denominator must be greater than 0), and the whole number you want to multiply by. The calculator will show the direct result, simplified fraction, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply a whole number by a fraction?
A: Yes, multiplication is commutative, so a × (b/c) = (b/c) × a = (a×b)/c.

Q2: What if my denominator is 1?
A: Then you're effectively multiplying two whole numbers, as any number divided by 1 is itself.

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

Q4: What if I get an improper fraction?
A: Improper fractions (where numerator ≥ denominator) are valid results and can be converted to mixed numbers if desired.

Q5: Can I use negative numbers?
A: This calculator only accepts non-negative integers, as negative values would require additional sign rules.