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

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

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

\( \frac{4}{5} \) x \( \frac{9}{2} \) = \( \frac{4 x 9}{5 x 2} \) = \( \frac{36}{10} \) = 3\(\frac{3}{5}\)

To multiply terms with radicals, multiply the coefficients and radicands separately:

4\( \sqrt{4} \) x 2\( \sqrt{9} \)
(4 x 2)\( \sqrt{4 \times 9} \)
8\( \sqrt{36} \)

Now we need to simplify the radical:

8\( \sqrt{36} \)
8\( \sqrt{6^2} \)
(8)(6)
48

The amount of flour you need is (3\(\frac{3}{8}\) - \(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{2}{8} \)) cups
\( \frac{25}{8} \) cups
3\(\frac{1}{8}\) cups

If 87% of the town's 39,000 voters cast ballots the number of votes cast is:

(\( \frac{87}{100} \)) x 39,000 = \( \frac{3,393,000}{100} \) = 33,930

The mayor got 78% of the votes cast which is:

(\( \frac{78}{100} \)) x 33,930 = \( \frac{2,646,540}{100} \) = 26,465 votes.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.