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

vans = \( \frac{76}{11} \) = 6\(\frac{10}{11}\)

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

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

\( \frac{3}{5} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{5} \) x \( \frac{6}{4} \)

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

\( \frac{3}{5} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{5 x 4} \) = \( \frac{18}{20} \) = \(\frac{9}{10}\)

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-8x^8}{4x^2} \)
\( \frac{-8}{4} \) x^{(8 - 2)}
-2x⁶

A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:

30,000 fans x \( \frac{3}{4} \) = \( \frac{90000}{4} \) = 22,500 fans.