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, 2¾ means 2 + ¾.

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 part

Example: For 7/4:

• 7 ÷ 4 = 1 with remainder 3
• Result: 1¾

3. When to Use Mixed Numbers

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

4. Using the Calculator

Tips: Enter any positive integers for numerator and denominator. The calculator will show the improper fraction as a mixed number or whole number if it divides evenly.

5. Frequently Asked Questions (FAQ)

Q1: What if the numerator is smaller than denominator?
A: The result will be the same as the original fraction (a proper fraction) since the whole number part would be 0.

Q2: Can I convert mixed numbers back to improper fractions?
A: Yes, multiply the whole number by the denominator, add the numerator, and place over the original denominator.

Q3: What about negative fractions?
A: This calculator handles positive numbers only. For negatives, the whole number part would be negative.

Q4: Should the fraction part be simplified?
A: This calculator shows the exact conversion. You may want to simplify the fractional part separately if needed.

Q5: What if I enter 0 for denominator?
A: The calculator requires positive integers and won't accept 0 for denominator (division by zero is undefined).