The factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 60 and 24 have in common.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{8 x 3}{2 x 3} \) - \( \frac{3 x 1}{6 x 1} \)

\( \frac{24}{6} \) - \( \frac{3}{6} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{24 - 3}{6} \) = \( \frac{21}{6} \) = 3\(\frac{1}{2}\)

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%

If 87% of the town's 14,000 voters cast ballots the number of votes cast is:

(\( \frac{87}{100} \)) x 14,000 = \( \frac{1,218,000}{100} \) = 12,180

The mayor got 88% of the votes cast which is:

(\( \frac{88}{100} \)) x 12,180 = \( \frac{1,071,840}{100} \) = 10,718 votes.