1. What is Mixed Number and Fraction Operation?

This calculator performs operations between mixed numbers (m n/o) and simple fractions (a/b). It supports addition, subtraction, multiplication, and division, always returning the result in simplest form.

2. How Does the Calculator Work?

The calculator follows these steps:

1. Convert mixed number to improper fraction: \( \frac{m \times o + n}{o} \)
2. Perform the operation (+, -, ×, ÷) with the second fraction
3. Simplify the result by dividing numerator and denominator by their GCD
4. Convert back to mixed number if the result is an improper fraction

3. Importance of Simplifying Results

Details: Simplified fractions are easier to understand and work with in further calculations. The calculator ensures results are in their simplest form.

4. Using the Calculator

Tips: Enter all parts of the mixed number (whole, numerator, denominator) and the fraction (numerator, denominator). Select the operation type. All denominators must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will display it as an improper fraction (like 7/4) or convert it to a mixed number (like 1 3/4) if appropriate.

Q2: Can I enter negative numbers?
A: Only the whole number and numerators can be negative. Denominators must always be positive.

Q3: What if I get a zero denominator?
A: The calculator requires denominators to be positive. Division by zero is not allowed.

Q4: How is the GCD calculated?
A: Using the Euclidean algorithm to find the greatest common divisor of numerator and denominator.

Q5: What if my result is a whole number?
A: It will be displayed as a whole number (like 5 instead of 5/1).