Enter two fractions or mixed numbers, choose an operation — add, subtract, multiply, or divide — and the Fraction Calculator returns the result as a simplified fraction and a mixed number. Type values into Fraction 1 and Fraction 2 fields using formats like 3/4, 1 2/3, or whole numbers like 5.
Result (Simplified Fraction)
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Result (Mixed Number)
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Result (Decimal)
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Step-by-Step
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A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in 3/8, the numerator is 3 and the denominator is 8, meaning 3 out of 8 equal parts.
A mixed number combines a whole number and a proper fraction, such as 1 2/3 (one and two-thirds). A proper fraction is one where the numerator is smaller than the denominator. Mixed numbers and improper fractions represent the same value — for example, 1 2/3 equals 5/3.
You can enter fractions as 3/4, mixed numbers as 1 2/3 (whole number space fraction), or plain whole numbers like 5. The calculator handles all three formats and converts them internally before performing the operation.
To add or subtract fractions, the calculator finds a common denominator using the formula: a/b ± c/d = (a×d ± b×c) / (b×d). The result is then simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
Multiplying fractions is straightforward: multiply the numerators together and the denominators together. So a/b × c/d = (a×c) / (b×d). The result is then simplified to its lowest terms.
To divide fractions, the calculator multiplies the first fraction by the reciprocal of the second. So a/b ÷ c/d = a/b × d/c = (a×d) / (b×c). The result is simplified and converted to a mixed number if applicable.
After calculating, the result fraction is reduced to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD). If the numerator is larger than the denominator, the result is also expressed as a mixed number.
Yes. You can enter negative values by prefixing the number with a minus sign, such as -3/4 or -1 2/3. The calculator will correctly perform the arithmetic and return a simplified result.