1. What is the Whole Number and Fraction Calculator?

This calculator simplifies the multiplication of a whole number by a fraction (c × a/b). It provides results in decimal form, simplified fraction form, and mixed expression form.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( c \) — Whole number (unitless)
• \( a \) — Numerator of fraction (unitless)
• \( b \) — Denominator of fraction (unitless)

Explanation: The calculator first calculates the product, then simplifies the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to understand and work with in further calculations. They represent the same value in their most reduced form.

4. Using the Calculator

Tips: Enter the whole number (c), numerator (a), and denominator (b). The denominator must be greater than zero. The calculator will provide three representations of the result.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not accept zero as a denominator as division by zero is undefined.

Q2: How is the fraction simplified?
A: The fraction is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

Q3: Can I use negative numbers?
A: The calculator currently only accepts non-negative numbers for all inputs.

Q4: What if my fraction is already in simplest form?
A: The calculator will return the same fraction as the simplified result.

Q5: Why provide multiple result formats?
A: Different situations call for different representations - decimals for quick understanding, fractions for exact values, and mixed expressions for context.