Fraction calculator

Operations on common fractions with automatic simplification. For addition and subtraction the fractions are brought to a common denominator:

$\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm cb}{bd}$

Multiplication is the product of numerators and denominators $\tfrac{a}{b}\cdot\tfrac{c}{d}=\tfrac{ac}{bd}$, and division — multiplying by the reciprocal $\tfrac{a}{b}:\tfrac{c}{d}=\tfrac{ad}{bc}$.

The result is shown in lowest terms, as a mixed number and as a decimal.