Fraction Calculator (add, subtract, multiply, divide)

To add fractions, they must have a common denominator. We find this by multiplying the denominators (`b * d`). Then, we cross-multiply the numerators and denominators and add the results (`ad + bc`).

$$ \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} $$

Similar to addition, find a common denominator (`b * d`). Then, cross-multiply and subtract the second product from the first (`ad - bc`).

$$ \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} $$

Multiply the numerators together (`a * c`) to get the new numerator, and multiply the denominators together (`b * d`) to get the new denominator.

$$ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} $$

To divide by a fraction, use the "invert and multiply" rule. Flip the second fraction (making it `d/c`) and then multiply it by the first fraction.

$$ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} $$