1. What is Fraction by Whole Number Multiplication?

Multiplying a fraction by a whole number is a fundamental arithmetic operation that scales the fraction by the whole number. The result is a fraction with the same denominator but the numerator multiplied by the whole number.

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 multiplier

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 fraction multiplication is essential for scaling recipes, calculating proportions, solving ratio problems, and many real-world applications in science, engineering, and finance.

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 three forms: unsimplified fraction, simplified fraction, and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator won't allow a denominator of zero as division by zero is undefined in mathematics.

Q2: How is the fraction simplified?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator, then divides both by this number.

Q3: Can I enter negative numbers?
A: The calculator only accepts non-negative integers as inputs to keep calculations simple.

Q4: What if my result is an improper fraction?
A: The calculator shows the result as-is. You can convert it to a mixed number if needed.

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