Mixed Number Calculator

Add, subtract, multiply, and divide mixed numbers. Get results as mixed numbers, improper fractions, and decimals.

Result (Mixed Number)
Result (Improper Fraction)
Result (Decimal)

How to Use This Calculator

Enter the whole number, numerator, and denominator for each mixed number, select the operation, and click Calculate. Results appear as a mixed number, improper fraction, and decimal.

Formula

Convert a b/c → (ac+b)/c, perform fraction arithmetic, convert result back to mixed number.

Example

2½ + 1¾ = 5/2 + 7/4 = 17/4 = 4¼ = 4.25

Frequently Asked Questions

  • A mixed number combines a whole number and a fraction, e.g. 2½ means 2 + 1/2 = 2.5.
  • Convert each to an improper fraction, add them (finding a common denominator), then convert back to a mixed number.
  • Multiply the whole number by the denominator and add the numerator: 2½ = (2×2+1)/2 = 5/2.
  • Divide numerator by denominator. The quotient is the whole part; the remainder over the denominator is the fraction: 7/4 = 1¾.
  • Yes — enter a negative whole number such as −2 with numerator 1 and denominator 2 to represent −2½.

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