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

vans = \( \frac{62}{13} \) = 4\(\frac{10}{13}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 10 people needing transportation leaving 10 - 8 = 2 who will have to find other transportation.

Diane scored 97% on the test meaning she earned 97% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.97 = 174 points. Each question is worth 3 points so she got \( \frac{174}{3} \) = 58 questions right.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.