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Mixed Fraction Calculator Simplify

Mixed Fraction Formula:

\[ m \frac{n}{o} = m + \frac{n/g}{o/g}, \text{ where } g = \gcd(n,o) \]

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1. What is a Mixed Fraction?

A mixed fraction is a combination of a whole number and a proper fraction. It represents the sum of the whole number and the fractional part. For example, 2 3/4 means 2 + 3/4.

2. How Does the Calculator Work?

The calculator uses the following formula to simplify mixed fractions:

\[ m \frac{n}{o} = m + \frac{n/g}{o/g}, \text{ where } g = \gcd(n,o) \]

Where:

Explanation: The calculator simplifies the fractional part by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Simplifying Fractions

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

4. Using the Calculator

Tips: Enter the whole number, numerator, and denominator. The denominator must be greater than zero. The calculator will return the simplified form.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is improper (numerator > denominator)?
A: The calculator will simplify it but won't convert it to a mixed number automatically.

Q2: What if I enter zero for the whole number?
A: The calculator will just simplify the fractional part.

Q3: What if numerator and denominator have no common divisors?
A: The fraction is already in simplest form and will be returned as-is.

Q4: Can I enter negative numbers?
A: The calculator is designed for positive numbers only.

Q5: What if the simplified denominator becomes 1?
A: The result will be shown as a whole number (sum of the original whole number and the simplified numerator).

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