1. What is an Improper Fraction?

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). This calculator converts improper fractions to mixed numbers (whole number plus proper fraction).

2. How Does the Converter Work?

The calculator performs the following operation:

Where:

• \( a \) — Numerator (must be > b)
• \( b \) — Denominator
• \( \left\lfloor\frac{a}{b}\right\rfloor \) — Whole number part
• \( a \mod b \) — Remainder

Explanation: The calculator divides numerator by denominator to get the whole number, then shows the remainder as a proper fraction.

3. Importance of Fraction Conversion

Details: Mixed numbers are often easier to understand and work with in real-world applications than improper fractions.

4. Using the Calculator

Tips: Enter numerator and denominator as positive integers where numerator > denominator. The calculator will automatically convert to mixed number format.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a proper fraction?
A: The calculator will indicate that the fraction is already proper (a ≤ b) and doesn't need conversion.

Q2: Can I enter negative numbers?
A: No, the calculator only accepts positive integers for both numerator and denominator.

Q3: What if the denominator is zero?
A: The calculator requires denominator > 0 (division by zero is undefined).

Q4: How is the remainder calculated?
A: The remainder is calculated using modulo operation (a % b).

Q5: Will the calculator simplify the fraction?
A: No, this version only converts to mixed number format without simplifying.