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

\( \frac{3}{7} \) ÷ \( \frac{4}{5} \) = \( \frac{3}{7} \) x \( \frac{5}{4} \)

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

\( \frac{3}{7} \) x \( \frac{5}{4} \) = \( \frac{3 x 5}{7 x 4} \) = \( \frac{15}{28} \) = \(\frac{15}{28}\)

If 79% of the town's 34,000 voters cast ballots the number of votes cast is:

(\( \frac{79}{100} \)) x 34,000 = \( \frac{2,686,000}{100} \) = 26,860

The mayor got 80% of the votes cast which is:

(\( \frac{80}{100} \)) x 26,860 = \( \frac{2,148,800}{100} \) = 21,488 votes.

The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

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

7\( \sqrt{32} \) - 6\( \sqrt{2} \)
7\( \sqrt{16 \times 2} \) - 6\( \sqrt{2} \)
7\( \sqrt{4^2 \times 2} \) - 6\( \sqrt{2} \)
(7)(4)\( \sqrt{2} \) - 6\( \sqrt{2} \)
28\( \sqrt{2} \) - 6\( \sqrt{2} \)

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

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