The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,300
i = 0.07 x $1,300
i = $91

To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{16}{76} \) = \( \frac{\frac{16}{4}}{\frac{76}{4}} \) = \( \frac{4}{19} \)

If 85% of the town's 9,000 voters cast ballots the number of votes cast is:

(\( \frac{85}{100} \)) x 9,000 = \( \frac{765,000}{100} \) = 7,650

The mayor got 81% of the votes cast which is:

(\( \frac{81}{100} \)) x 7,650 = \( \frac{619,650}{100} \) = 6,197 votes.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

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

\( \frac{4}{9} \) ÷ \( \frac{4}{8} \) = \( \frac{4}{9} \) x \( \frac{8}{4} \)

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

\( \frac{4}{9} \) x \( \frac{8}{4} \) = \( \frac{4 x 8}{9 x 4} \) = \( \frac{32}{36} \) = \(\frac{8}{9}\)