Mixed Number Calculator
Convert between mixed numbers and improper fractions. Add or subtract mixed numbers with step-by-step solutions.
Convert Mixed Number to Improper Fraction
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Enter a mixed number above to convert.
Convert Improper Fraction to Mixed Number
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Enter an improper fraction above to convert.
Add / Subtract Mixed Numbers
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Fill in both mixed numbers and choose an operation.
What is a Mixed Number?
A mixed number combines a whole number and a proper fraction, such as 3 ½. An improper fraction has a numerator larger than its denominator, like 7/2.
Conversion Formulas
Mixed → Improper: (whole × denominator + numerator) / denominator
Improper → Mixed: whole = ⌊numerator ÷ denominator⌋, remainder = numerator mod denominator
Improper → Mixed: whole = ⌊numerator ÷ denominator⌋, remainder = numerator mod denominator
Example: 3 ½ = (3 × 2 + 1) / 2 = 7/2
7/2 → whole = 3, remainder = 1 → 3 ½
7/2 → whole = 3, remainder = 1 → 3 ½
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Last updated: 2026-08-08