1. What is Fraction Multiplication?

Fraction multiplication by a whole number follows the principle that multiplying a fraction by a whole number is equivalent to multiplying the numerator by that whole number while keeping the denominator the same.

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 multiplier

Explanation: The calculator multiplies the numerator by the whole number and keeps the denominator the same, then simplifies the resulting fraction if possible.

3. Importance of Fraction Calculation

Details: Understanding fraction multiplication is fundamental in mathematics, used in scaling recipes, calculating proportions, and solving real-world problems involving parts of wholes.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction (denominator must be positive), and the whole number you want to multiply by. The calculator will show the result in fraction form (simplified if possible) and decimal approximation.

5. Frequently Asked Questions (FAQ)

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

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: Can I use negative numbers?
A: The calculator is designed for positive numbers only, though the mathematical principle works for negatives too.

Q4: Why show both fraction and decimal results?
A: Fractions are exact while decimals are approximations. Both forms are useful in different contexts.

Q5: What if my result is an improper fraction?
A: The calculator shows improper fractions as-is. You can convert them to mixed numbers if needed.