175k views
0 votes
If (a/b ) and (c/d ) are rational expressions, then (a/b .c/d =a/c .b/d ).

A) True
B) False

User Iusting
by
7.4k points

1 Answer

5 votes

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.

User MyLibary
by
8.1k points