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Mixed Fraction Calculator Examples

Mixed Fraction Formula:

\[ \text{Improper Fraction} = \frac{(m \times o) + n}{o} \]

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1. What is a Mixed Fraction?

A mixed fraction (also called mixed number) combines a whole number and a proper fraction. It represents the sum of the whole number and the fraction. For example, 2 1/3 means 2 + 1/3.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Improper Fraction} = \frac{(m \times o) + n}{o} \]

Where:

Example: For 1 2/3, the calculation would be (1 × 3 + 2)/3 = 5/3

3. Importance of Mixed Fractions

Details: Mixed fractions are commonly used in everyday measurements (like cooking or construction) where quantities often include whole units plus fractional parts.

4. Using the Calculator

Tips: Enter the whole number, numerator and denominator. The denominator must be greater than 0, and the numerator should be less than the denominator for a proper fraction.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between mixed and improper fractions?
A: A mixed fraction has a whole number and proper fraction (like 1 1/2), while an improper fraction has a numerator equal to or larger than its denominator (like 3/2).

Q2: When should I use mixed fractions vs improper fractions?
A: Mixed fractions are better for everyday use and understanding quantities, while improper fractions are preferred in mathematical calculations.

Q3: Can the calculator handle negative numbers?
A: This version only accepts positive numbers. For negative mixed fractions, the negative sign applies to both the whole number and fraction parts.

Q4: What if my numerator is larger than denominator?
A: The calculator will still work, but technically it wouldn't be a proper mixed fraction. The result will be correct mathematically.

Q5: How do I simplify the resulting fraction?
A: Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.

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