A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

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

\( \frac{4}{9} \) ÷ \( \frac{3}{6} \) = \( \frac{4}{9} \) x \( \frac{6}{3} \)

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

\( \frac{4}{9} \) x \( \frac{6}{3} \) = \( \frac{4 x 6}{9 x 3} \) = \( \frac{24}{27} \) = \(\frac{8}{9}\)

If 90% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{90}{100} \)) x 46,000 = \( \frac{4,140,000}{100} \) = 41,400

The mayor got 57% of the votes cast which is:

(\( \frac{57}{100} \)) x 41,400 = \( \frac{2,359,800}{100} \) = 23,598 votes.

The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 48 meters so the equation becomes: 2w + 2h = 48.

Putting these two equations together and solving for width (w):

2w + 2h = 48
w + h = \( \frac{48}{2} \)
w + h = 24
w = 24 - h

From the question we know that h = 2w so substituting 2w for h gives us:

w = 24 - 2w
3w = 24
w = \( \frac{24}{3} \)
w = 8

Since h = 2w that makes h = (2 x 8) = 16 and the area = h x w = 8 x 16 = 128 m²

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.