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 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{16}{68} \) = \( \frac{\frac{16}{4}}{\frac{68}{4}} \) = \( \frac{4}{17} \)

46% of the water consumption is industrial use and 13% is personal use so (46% - 13%) = 33% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{33}{100} \) x 45,000 gallons = 14,850 gallons.

You have 24 out of the total of 300 raffle tickets sold so you have a (\( \frac{24}{300} \)) x 100 = \( \frac{24 \times 100}{300} \) = \( \frac{2400}{300} \) = 8% chance to win the raffle.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 3 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7