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, 2 1/3 means 2 + 1/3.

2. How Does the Calculator Work?

The calculator 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 (modulo operation)

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

3. When to Use Mixed Numbers

Details: Mixed numbers are commonly used in everyday measurements (like cooking) where quantities often include whole units plus fractional parts.

4. Using the Calculator

Tips: Enter the numerator and denominator of your fraction. The denominator must be greater than zero. The calculator will show the mixed number equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is already proper (numerator smaller than denominator)?
A: The calculator will show just the fraction (no whole number part) if the numerator is smaller than the denominator.

Q2: What if my fraction is an improper fraction?
A: The calculator will convert it to a mixed number with a whole number part and a proper fraction.

Q3: Does the calculator simplify the fraction?
A: This version shows the exact remainder fraction. For simplified results, you would need to find the greatest common divisor.

Q4: Can I enter negative numbers?
A: This calculator only accepts positive integers for both numerator and denominator.

Q5: What if I enter 0 as numerator?
A: The result will be 0, as 0 divided by any number is 0.