1. What is Fraction and Whole Number Multiplication?

Multiplying a fraction by a whole number is a fundamental arithmetic operation that combines the fraction a/b with a whole number c to produce (a×c)/b. This operation is common in scaling recipes, calculating proportions, and solving various mathematical problems.

2. How Does the Calculator Work?

The calculator uses the multiplication formula:

Where:

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

Explanation: The calculator multiplies the numerator by the whole number while keeping the denominator the same, then simplifies the resulting fraction to its lowest terms.

3. Importance of Fraction Multiplication

Details: Understanding how to multiply fractions by whole numbers is essential for scaling quantities, solving ratio problems, and working with proportions in various real-world applications.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction (denominator cannot be zero), and the whole number you want to multiply by. The calculator will show the result in both fractional and decimal form.

5. Frequently Asked Questions (FAQ)

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

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator to reduce the fraction to its simplest form.

Q3: Can I enter negative numbers?
A: Yes, the calculator handles negative values in both the fraction and whole number.

Q4: What if my result is an improper fraction?
A: The calculator shows improper fractions as-is (like 5/2) rather than converting to mixed numbers.

Q5: How precise is the decimal result?
A: The decimal is rounded to 4 decimal places for readability while maintaining reasonable precision.