1. What is Fraction and Whole Number Multiplication?

Multiplying a fraction by a whole number is a fundamental arithmetic operation that combines these two types of numbers. The operation follows the rule: \(\frac{a}{b} \times c = \frac{a \times c}{b}\).

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 if possible.

3. Practical Applications

Details: This operation is commonly used in recipes (scaling ingredients), construction (material calculations), and financial calculations (fractional shares).

4. Using the Calculator

Tips: Enter the numerator and denominator for the fraction, and the whole number to multiply by. The denominator cannot be zero. The calculator will show the result in both fraction and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: Can I multiply a whole number by a fraction?
A: Yes, multiplication is commutative, so \( c \times \frac{a}{b} \) gives the same result as \( \frac{a}{b} \times c \).

Q2: What if my result is an improper fraction?
A: The calculator will display improper fractions (where numerator > denominator) and can convert them to mixed numbers if needed.

Q3: How does the calculator simplify fractions?
A: It uses the greatest common divisor (GCD) to reduce fractions to their simplest form.

Q4: Can I use negative numbers?
A: Yes, the calculator handles negative numbers in both the fraction and whole number.

Q5: What if my denominator is 1?
A: A fraction with denominator 1 is equivalent to a whole number, so you're essentially multiplying two whole numbers.