Forty people are part of a tour group in London. One day 1/2 that group explored downtown London, of that group 2/3,visited the tower of London. What fraction of the group chose to visit the Tower of London that day?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?