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

\( \frac{4}{7} \) x \( \frac{2}{5} \) = \( \frac{4 x 2}{7 x 5} \) = \( \frac{8}{35} \) = \(\frac{8}{35}\)

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.

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

\( \frac{5 x 7}{6 x 7} \) - \( \frac{6 x 3}{14 x 3} \)

\( \frac{35}{42} \) - \( \frac{18}{42} \)

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

\( \frac{35 - 18}{42} \) = \( \frac{17}{42} \) = \(\frac{3643}{9000}\)

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 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:

The greatest common factor (GCF) is the greatest factor that divides two integers.