To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{9} \) x \( \frac{2}{5} \) = \( \frac{2 x 2}{9 x 5} \) = \( \frac{4}{45} \) = \(\frac{4}{45}\)

To subtract 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 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

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

\( \frac{8 x 11}{3 x 11} \) - \( \frac{8 x 3}{11 x 3} \)

\( \frac{88}{33} \) - \( \frac{24}{33} \)

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

\( \frac{88 - 24}{33} \) = \( \frac{64}{33} \) = 1\(\frac{31}{33}\)

There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.