1. What is Mixed Number Simplification?

Mixed number simplification converts a mixed number (whole number + fraction) to its simplest form by reducing the fractional part using the greatest common divisor (GCD).

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( m \) — Whole number (unitless)
• \( n \) — Numerator (unitless)
• \( o \) — Denominator (unitless)
• \( g \) — Greatest common divisor of numerator and denominator (unitless)

Explanation: The calculator finds the GCD of the numerator and denominator, then divides both by this value to simplify the fractional part while keeping the whole number unchanged.

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to work with in calculations and comparisons. They represent the same value in the most reduced form possible.

4. Using the Calculator

Tips: Enter the whole number, numerator, and denominator. The denominator must be positive. All values should be integers.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is improper (numerator > denominator)?
A: The calculator will still simplify it correctly. For example, 1 5/4 becomes 1 5/4 (not simplified) or 2 1/4 when converted to proper form.

Q2: What is the GCD of two numbers?
A: The greatest common divisor is the largest integer that divides both numbers without leaving a remainder.

Q3: Why keep the whole number separate?
A: Mixed numbers are traditionally written with the whole number part separate from the fractional part for better readability.

Q4: What if my fraction is already in simplest form?
A: The calculator will return the same fraction, indicating it's already simplified.

Q5: Can I simplify negative mixed numbers?
A: This calculator handles non-negative numbers only. For negative numbers, the negative sign applies to both the whole and fractional parts.