Perform arithmetic on mixed numbers, fractions, and integers with this Mixed Number Calculator. Enter your first number and second number in formats like 1 2/3, 3/4, or 5, then choose your operation — add, subtract, multiply, or divide. You get back the result as a simplified fraction and as a mixed number, with a full step-by-step breakdown.
Result (Mixed Number)
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Result (Fraction)
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Result (Decimal)
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Step-by-Step
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A mixed number combines a whole number and a proper fraction, such as 2 3/4 (two and three-quarters). The fraction part always has a numerator smaller than its denominator. Mixed numbers are a common way to express quantities larger than one in everyday contexts like cooking or construction.
You can enter mixed numbers (e.g. 1 2/3), fractions (e.g. 3/4), improper fractions (e.g. 7/4), or whole integers (e.g. 5). Separate the whole part and the fraction part with a space. Negative values are also accepted — just prefix with a minus sign, like -1 1/2.
To add mixed numbers, each is first converted to an improper fraction. Then the fractions are added using the formula: a/b + c/d = (a×d + b×c) / (b×d). The resulting fraction is then simplified and converted back to a mixed number if greater than one.
Subtraction follows the same process as addition. Both mixed numbers are converted to improper fractions, then the formula a/b − c/d = (a×d − b×c) / (b×d) is applied. The result is simplified and expressed as a mixed number or fraction.
To multiply mixed numbers, convert each to an improper fraction, then multiply numerators together and denominators together: (a/b) × (c/d) = (a×c) / (b×d). The product is then reduced to its lowest terms and converted back to a mixed number if applicable.
Dividing by a mixed number means multiplying by its reciprocal. Both are converted to improper fractions, then the first fraction is multiplied by the flipped second fraction: (a/b) ÷ (c/d) = (a×d) / (b×c). The result is simplified and shown as a mixed number.
A fraction is fully simplified (or reduced) when the numerator and denominator share no common factors other than 1. For example, 4/8 simplifies to 1/2. The calculator automatically finds the greatest common divisor (GCD) to reduce every result to its simplest form.
Yes. You can enter negative values by adding a minus sign before the number, such as -1 2/3 or -3/4. The calculator handles all arithmetic rules for negative fractions and mixed numbers correctly.