1. What Are Fraction Operations?

This calculator performs two fundamental operations with fractions and integers: multiplication and division. Understanding these operations is essential for various mathematical and real-world applications.

2. How Does the Calculator Work?

The calculator uses these mathematical formulas:

Where:

• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)
• \( c \) — Integer (unitless)

Explanation: The calculator automatically simplifies the resulting fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator.

3. Importance of Fraction Operations

Details: Multiplying and dividing fractions with integers are fundamental skills needed in algebra, physics, chemistry, and everyday calculations like cooking or construction measurements.

4. Using the Calculator

Tips: Enter the numerator (a), denominator (b), integer (c), and select the operation. All values must be valid (denominator cannot be zero). The calculator will show the step-by-step result and simplified form.

5. Frequently Asked Questions (FAQ)

Q1: Can I use decimal numbers?
A: Yes, the calculator accepts decimal numbers for both the fraction components and the integer.

Q2: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q3: Does the calculator show simplified results?
A: Yes, it shows both the direct result and the simplified fraction (if simplification is possible).

Q4: Can I use negative numbers?
A: Yes, negative numbers are accepted. The calculator will properly handle the sign in the result.

Q5: How is the GCD calculated?
A: The calculator uses the Euclidean algorithm to find the greatest common divisor for simplification.