1. What is Fraction Multiplication?

Multiplying a fraction by a whole number is a fundamental arithmetic operation that combines the fraction with the whole number to produce a new fraction or whole number result.

2. How Does the Calculator Work?

The calculator uses the fraction multiplication formula:

Where:

• \( a \) — Numerator of the fraction
• \( b \) — Denominator of the fraction (cannot be zero)
• \( c \) — 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 if possible.

3. Importance of Fraction Multiplication

Details: Understanding how to multiply fractions by whole numbers is essential for many real-world applications including cooking, construction, and scientific calculations.

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 fraction form (simplified if possible) and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: Can the denominator be zero?
A: No, division by zero is undefined in mathematics. The denominator must always be a non-zero number.

Q2: What if the result is a whole number?
A: The calculator will show it as a fraction (e.g., 4/1) and also in decimal form (4.0000).

Q3: Does the calculator simplify fractions?
A: Yes, it automatically simplifies the resulting fraction by finding the greatest common divisor.

Q4: Can I use negative numbers?
A: Yes, the calculator works with negative numerators, denominators, or whole numbers.

Q5: How many decimal places are shown?
A: The decimal result is shown with 4 decimal places for precision.