Fraction Calculator

Add, subtract, multiply, and divide fractions, improper fractions, or mixed numbers.

\frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd}, \quad \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}, \quad \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}

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Step-by-Step Calculation & Explanation

Fractions represent parts of a whole. To add or subtract fractions, they must be converted to have a common denominator (often using the Least Common Multiple). To multiply, multiply numerators and denominators. To divide, multiply the first fraction by the reciprocal of the second.