What is a algorithm for multiplying fractions?

To multiply fractions, follow these steps: First, multiply the numerators (the top numbers) together to get the new numerator. Next, multiply the denominators (the bottom numbers) together to get the new denominator. Finally, simplify the resulting fraction if possible by dividing both the numerator and denominator by their greatest common divisor. For example, to multiply ( \frac{2}{3} ) and ( \frac{4}{5} ), calculate ( \frac{2 \times 4}{3 \times 5} = \frac{8}{15} ).