To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{6} \) ÷ \( \frac{3}{9} \) = \( \frac{4}{6} \) x \( \frac{9}{3} \)

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

\( \frac{4}{6} \) x \( \frac{9}{3} \) = \( \frac{4 x 9}{6 x 3} \) = \( \frac{36}{18} \) = 2

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

The amount of flour you need is (2\(\frac{3}{4}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{22}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups

To subtract these radicals together their radicands must be the same:

7\( \sqrt{125} \) - 7\( \sqrt{5} \)
7\( \sqrt{25 \times 5} \) - 7\( \sqrt{5} \)
7\( \sqrt{5^2 \times 5} \) - 7\( \sqrt{5} \)
(7)(5)\( \sqrt{5} \) - 7\( \sqrt{5} \)
35\( \sqrt{5} \) - 7\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

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

vans = \( \frac{96}{15} \) = 6\(\frac{2}{5}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.