Final answer:
The equation (a/b) × (c/d) = (a/c) × (b/d) is false because the correct method is to multiply the numerators together and the denominators together, resulting in (ac)/(bd).
Step-by-step explanation:
The statement that (a/b) × (c/d) = (a/c) × (b/d) is false. When multiplying two rational expressions, the correct procedure is to multiply the numerators together and the denominators together. Thus, (a/b) × (c/d) should actually equal (ac)/(bd). Multiplying across does not change one numerator with a denominator from a different fraction as stipulated in the student's equation.