Mixed Fraction Formula:
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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.
The calculator uses the formula:
Where:
Example: For 1 2/3, the calculation would be (1 × 3 + 2)/3 = 5/3
Details: Mixed fractions are commonly used in everyday measurements (like cooking or construction) where quantities often include whole units plus fractional parts.
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.
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.