Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{73}{14} \) = 5\(\frac{3}{14}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 7}{3 x 7} \) + \( \frac{5 x 3}{7 x 3} \)

\( \frac{21}{21} \) + \( \frac{15}{21} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{21 + 15}{21} \) = \( \frac{36}{21} \) = 1\(\frac{5}{7}\)

The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 4 crews so there are \( \frac{8}{4} \) = 2 workers on a crew. 8 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 8 x 2 = 16 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 16 - 8 = 8 new staff for the busy season.

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

33,000 fans x \( \frac{2}{3} \) = \( \frac{66000}{3} \) = 22,000 fans.