To multiply fractions, multiply the numerators together and the denominators together, resulting in the formula a/b * c/d = (a*c)/(b*d). The process is straightforward and can be easily remembered. Additionally, the discussion touches on how to divide fractions and perform addition and subtraction with them, using similar principles. These operations involve adjusting the fractions accordingly to maintain proper mathematical structure. Understanding these basic operations is essential for solving fraction-related problems effectively.