If 87% of the town's 20,000 voters cast ballots the number of votes cast is:

(\( \frac{87}{100} \)) x 20,000 = \( \frac{1,740,000}{100} \) = 17,400

The mayor got 77% of the votes cast which is:

(\( \frac{77}{100} \)) x 17,400 = \( \frac{1,339,800}{100} \) = 13,398 votes.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.

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

\( \frac{2}{8} \) x \( \frac{1}{6} \) = \( \frac{2 x 1}{8 x 6} \) = \( \frac{2}{48} \) = \(\frac{1}{24}\)

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{81}{49}} \)
\( \frac{\sqrt{81}}{\sqrt{49}} \)
\( \frac{\sqrt{9^2}}{\sqrt{7^2}} \)
\( \frac{9}{7} \)
1\(\frac{2}{7}\)