Fraction Calculator Simplify Mixed Numbers Video

Mixed Number Simplification:

\[ \text{Simplified Fraction} = \frac{m \times o + n}{o} \text{ reduced to lowest terms} \]

Simplified Result:

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1. What is Mixed Number Simplification?

A mixed number combines a whole number with a fraction (e.g., 2 3/4). Simplification converts it to its simplest form by reducing the fractional part to lowest terms.

2. How Does the Calculator Work?

The calculator uses these steps:

\[ \text{1. Convert to improper fraction: } \frac{m \times o + n}{o} \] \[ \text{2. Find GCD of numerator and denominator} \] \[ \text{3. Divide both by GCD to simplify} \] \[ \text{4. Convert back to mixed number if possible} \]

Where:

\( m \) — Whole number part
\( n \) — Numerator of fractional part
\( o \) — Denominator of fractional part

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.

4. Using the Calculator

Tips: Enter whole number, numerator and denominator. Denominator must be ≥1. The calculator will reduce the fraction to lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if my fraction is already in simplest form?
A: The calculator will return the same fraction, confirming it's simplified.

Q2: Can I simplify fractions without whole numbers?
A: Yes, enter 0 for the whole number and your fraction parts.

Q3: What about improper fractions?
A: The calculator will convert them to mixed numbers if possible.

Q4: How is the GCD calculated?
A: Using the Euclidean algorithm to find the greatest common divisor.

Q5: Can I simplify negative mixed numbers?
A: This calculator handles positive numbers only for simplification.