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Mix Number Calculator and Fraction

Mixed Number and Fraction Operations:

\[ a\frac{b}{c} \pm d\frac{e}{f} = \text{Result} \]

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1. What is a Mixed Number?

A mixed number combines a whole number and a proper fraction (where the numerator is less than the denominator). For example, 2½ represents 2 + ½.

2. How Fraction Operations Work

The calculator performs four basic operations:

  • Addition: Find common denominator, add numerators
  • Subtraction: Find common denominator, subtract numerators
  • Multiplication: Multiply numerators and denominators
  • Division: Multiply by reciprocal of second fraction

3. Using the Calculator

Instructions: Enter whole numbers, numerators and denominators for both mixed numbers. Select operation and click Calculate.

4. Examples

Example 1: 3½ + 2⅓ = 5⅚
Example 2: 5¼ - 2½ = 2¾
Example 3: 1½ × 2⅓ = 3½
Example 4: 3¾ ÷ 1½ = 2½

5. Frequently Asked Questions (FAQ)

Q1: Can I enter improper fractions?
A: Yes, but they'll be converted to mixed numbers in the result.

Q2: What if I enter 0 as denominator?
A: Denominator defaults to 1 (division by zero is prevented).

Q3: How are negative numbers handled?
A: Negative values aren't currently supported in this calculator.

Q4: What's the maximum number size?
A: The calculator handles typical values, but extremely large numbers may cause errors.

Q5: How is simplification performed?
A: Results are simplified using the greatest common divisor (GCD).

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