1. What is a Mixed Number?

A mixed number is a combination of a whole number and a proper fraction. It represents the sum of the whole number and the fraction. For example, 2½ is a mixed number representing 2 + ½.

2. How Does the Conversion Work?

The conversion uses the formula:

Where:

• \( a \) — Numerator (top number of fraction)
• \( b \) — Denominator (bottom number of fraction)
• \( \left\lfloor\frac{a}{b}\right\rfloor \) — Whole number part (integer division)
• \( a \mod b \) — Remainder (numerator of fractional part)

Explanation: The formula divides the numerator by the denominator to get the whole number part, then uses the remainder to form the fractional part.

3. Importance of Mixed Numbers

Details: Mixed numbers are commonly used in everyday measurements (like cooking) where quantities often include whole units plus fractions. They provide a more intuitive representation than improper fractions in many practical situations.

4. Using the Calculator

Tips: Enter the numerator (must be non-negative) and denominator (must be positive). The calculator will display the mixed number or proper fraction if the numerator is smaller than the denominator.

5. Frequently Asked Questions (FAQ)

Q1: What if the numerator is smaller than the denominator?
A: The result will be a proper fraction (no whole number part) if the numerator is smaller than the denominator.

Q2: What if the denominator is 1?
A: The result will be just the numerator since any number divided by 1 is itself.

Q3: Does the calculator simplify fractions?
A: This version doesn't simplify fractions, but you can reduce the fraction part manually by dividing numerator and denominator by their greatest common divisor.

Q4: Can I enter negative numbers?
A: The calculator only accepts non-negative numerators and positive denominators.

Q5: What about improper fractions?
A: Improper fractions (where numerator ≥ denominator) will be converted to mixed numbers. Proper fractions will remain as is.