How to Calculate Mixed Numbers
What is Mixed Numbers?
A mixed number combines a whole number and a proper fraction (e.g., 2¾ = two and three-quarters). Converting between mixed numbers, improper fractions, and decimals is essential for measurement, cooking, and arithmetic operations.
Step-by-Step Guide
- 1Mixed to improper: (whole × denominator + numerator) / denominator
- 22¾ = (2×4 + 3)/4 = 11/4
- 3Improper to mixed: divide numerator by denominator; quotient is whole, remainder is new numerator
- 4To decimal: divide the fraction part: 2¾ = 2 + 3/4 = 2 + 0.75 = 2.75
Worked Examples
Input
3½ (mixed) → improper
Result
7/2
(3×2 + 1)/2 = 7/2
Input
17/5 (improper) → mixed
Result
3⅖
17÷5 = 3 remainder 2
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