½ Fraction Calculator
Add, subtract, multiply, and divide fractions. Automatically simplifies results and shows step-by-step work.
Fraction Operation
Result
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Simplified Fraction
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Decimal
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Mixed Number
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Percentage
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Simplify a Fraction
Simplified Form
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GCD
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Decimal
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How to Add and Subtract Fractions
To add or subtract fractions, you need a common denominator. Find the LCM of both denominators, convert each fraction, then add or subtract the numerators.
a/b + c/d = (a×d + b×c) / (b×d), then simplify by GCD
a/b − c/d = (a×d − b×c) / (b×d), then simplify by GCD
a/b × c/d = (a×c) / (b×d), then simplify by GCD
a/b ÷ c/d = (a×d) / (b×c) (multiply by reciprocal), then simplify
a/b − c/d = (a×d − b×c) / (b×d), then simplify by GCD
a/b × c/d = (a×c) / (b×d), then simplify by GCD
a/b ÷ c/d = (a×d) / (b×c) (multiply by reciprocal), then simplify
What is a mixed number? +
A mixed number combines a whole number and a proper fraction, e.g., 2¾. It's equivalent to an improper fraction where the numerator is larger than the denominator (11/4 = 2¾). Mixed numbers are often more intuitive for everyday use.
What is GCD and how is it used? +
GCD (Greatest Common Divisor) is the largest number that divides both numerator and denominator evenly. Dividing both by their GCD gives the simplest form of a fraction. For example, GCD(12, 18) = 6, so 12/18 = 2/3.