1. What is Fraction to Mixed Number Conversion?

A mixed number combines a whole number with a proper fraction. Converting improper fractions (where numerator ≥ denominator) to mixed numbers makes them easier to understand and work with in everyday situations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The calculator divides numerator by denominator to get the whole number part, then uses the remainder as the new numerator for the fractional part.

3. Importance of Mixed Numbers

Details: Mixed numbers are more intuitive for representing quantities in real-world measurements (like cooking or construction) where whole units plus fractional parts are common.

4. Using the Calculator

Tips: Enter any positive integers for numerator and denominator (denominator must be ≥1). The calculator will automatically simplify the fractional part if possible.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is already proper (numerator less than denominator)?
A: The calculator will return the simplified fraction as is, with no whole number part.

Q2: Does the calculator simplify fractions?
A: Yes, it automatically reduces the fractional part to its simplest form using the greatest common divisor.

Q3: What happens if I enter 0 as numerator?
A: The result will be 0, as any fraction with 0 numerator equals 0.

Q4: Can I use negative numbers?
A: This calculator is designed for positive numbers only. Negative fractions would require special handling of the sign.

Q5: What's the largest number this can handle?
A: The calculator can handle very large numbers (up to PHP's integer limits), but extremely large values may cause display issues.